Chia-ven Pao

Chia-ven Pao's AcademicInfluence.com Rankings

Chia-ven Pao

Mathematics

#6742

World Rank

#9286

Historical Rank

Measure Theory

#1564

World Rank

#1941

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Chia-ven Pao's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics National Taiwan University

Similar Degrees You Can Earn

Best Online Bachelor's in Math 2025

Why Is Chia-ven Pao Influential?

(Suggest an Edit or Addition)

(See a Problem?)

Chia-ven Pao's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Nonlinear parabolic and elliptic equations (1993) (1843)
Dynamics of Nonlinear Parabolic Systems with Time Delays (1996) (134)
On nonlinear reaction-diffusion systems (1982) (118)
Convergence of solutions of reaction-diffusion systems with time delays (2002) (98)
Models of genetic control by repression with time delays and spatial effects (1984) (97)
Coexistence and stability of a competition—diffusion system in population dynamics (1981) (86)
Asymptotic behavior of a competition—diffusion system in population dynamics (1982) (86)
Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory (1992) (81)
Monotone iterative methods for finite difference system of reaction-diffusion equations (1985) (80)
Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions (1995) (78)
Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions (1998) (77)
Strongly coupled elliptic systems and applications to Lotka–Volterra models with cross-diffusion (2005) (76)
Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays (2004) (74)
Systems of Parabolic Equations with Continuous and Discrete Delays (1997) (74)
Coupled nonlinear parabolic systems with time delays (1995) (66)
Numerical solutions of reaction-diffusion equations with nonlocal boundary conditions (2001) (65)
Parabolic Boundary-Value Problems (1992) (62)
Numerical Analysis of Coupled Systems of Nonlinear Parabolic Equations (1999) (61)
Quasisolutions and global attractor of reaction-diffusion systems (1996) (58)
Numerical Methods for Semilinear Parabolic Equations (1987) (56)
Periodic solutions of parabolic systems with nonlinear boundary conditions (1999) (55)
Finite difference reaction–diffusion systems with coupled boundary conditions and time delays (2002) (55)
Stability and attractivity of periodic solutions of parabolic systems with time delays (2005) (52)
Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions (2007) (52)
On fourth-order elliptic boundary value problems (1999) (50)
Dynamics of reaction-diffusion equations with nonlocal boundary conditions (1995) (49)
Positive solutions of a nonlinear boundary-value problem of parabolic type (1976) (48)
Time-Delayed finite difference reaction-diffusion systems with nonquasimonotone functions (2006) (47)
Global asymptotic stability of Lotka–Volterra 3-species reaction–diffusion systems with time delays (2003) (46)
Positive solutions of quasilinear parabolic systems with Dirichlet boundary condition (2010) (40)
Bifurcation analysis on a nonlinear diffusion system in reactor dynamics (1979) (38)
Quasilinear parabolic and elliptic equations with nonlinear boundary conditions (2007) (36)
Solution of a nonlinear integrodifferential system arising in nuclear reactor dynamics (1974) (35)
Accelerated monotone iterative methods for finite difference equations of reaction-diffusion (1998) (34)
Numerical Methods for Systems of Nonlinear Parabolic Equations with Time Delays (1999) (33)
Finite difference reaction diffusion equations with nonlinear boundary conditions (1995) (32)
Positive solutions and dynamics of a finite difference reaction–diffusion system (1993) (31)
Numerical methods for coupled systems of nonlinear parabolic boundary value problems (1990) (31)
Block monotone iterative methods for numerical solutions of nonlinear elliptic equations (1995) (29)
Successive Approximations of Some Nonlinear Initial-Boundary Value Problems (1974) (29)
Numerical Methods for Time-Periodic Solutions of Nonlinear Parabolic Boundary Value Problems (2001) (28)
Reaction-Diffusion Equations (1992) (27)
Asymptotic behavior and nonexistence of global solutions for a class of nonlinear boundary value problems of parabolic type (1978) (27)
Mathematical analysis of enzyme-substrate reaction diffusion in some biochemical systems (1980) (27)
Block monotone iterative methods for numerical solutions of nonlinear elliptic equations (26)
Logarithmic derivates of a square matrix (1973) (26)
Block Monotone Iterations for Numerical Solutions of Fourth-Order Nonlinear Elliptic Boundary Value Problems (2003) (25)
Asymptotic behavior of solutions for finite-difference equations of reaction-diffusion (1989) (24)
Accelerated monotone iterations for numerical solutions of nonlinear elliptic boundary value problems (2003) (24)
Numerical methods for fourth‐order nonlinear elliptic boundary value problems (2001) (24)
A mixed initial boundary-value problem arising in neurophysiology (1975) (23)
Quasilinear parabolic and elliptic systems with mixed quasimonotone functions (2013) (23)
Numerical solutions for some coupled systems of nonlinear boundary value problems (1987) (21)
Nonlinear fourth-order elliptic equations with nonlocal boundary conditions (2010) (20)
A further remark on the logarithmic derivatives of a square matrix (1973) (18)
The global attractor of a competitor-competitor-mutualist reaction-diffusion system with time delays (2007) (17)
Periodic Solutions of Parabolic Systems with Time Delays (2000) (16)
Asymptotic stability of reaction-diffusion systems in chemical reactor and combustion theory (1981) (16)
Periodic solutions of coupled semilinear parabolic boundary value problems (1982) (16)
A Finite Difference Method and Analysis for 2D Nonlinear Poisson–Boltzmann Equations (2007) (16)
Positive Steady-State Solutions of a Competing Reaction-Diffusion System (1995) (16)
Parabolic Systems in Unbounded Domains I. Existence and Dynamics (1998) (16)
On a coupled reaction diffusion system with time delays (1987) (15)
Finite difference reaction–diffusion equations with nonlinear diffusion coefficients (2000) (15)
Block Monotone Iterative Method for Semilinear Parabolic Equations with Nonlinear Boundary Conditions (2010) (15)
Parabolic Systems in Unbounded Domains. II. Equations with Time Delays (1998) (14)
Blowing-up and asymptotic behaviour of solutions for a finite difference system (1996) (14)
Asymptotic behavior and positive solutions of a chemical reaction diffusion system (1992) (14)
Block monotone iterative methods for numerical solutions of nonlinear elliptic equations (13)
Reaction diffusion equations with nonlinear boundary conditions (1981) (13)
Qualitative analysis of a coupled reaction-diffusion model in biology with time delays (1985) (13)
nonlinear elliptic boundary-value problems in unbounded domains (1992) (13)
On nonlinear neutron transport equations (1973) (13)
Global attractors of reaction-diffusionsystems modeling food chain populations with delays (2011) (12)
Positive solution of a nonlinear diffusion system arising in chemical reactors (1974) (12)
On the stability of nonlinear operator differential equations, and applications (1969) (11)
A Lotka–Volterra cooperating reaction–diffusion system with degenerate density-dependent diffusion (2014) (11)
The cauchy problem of a degenerate parabolic equation (1977) (11)
The existence and stability of solutions of nonlinear operator differential equations (1969) (11)
Monotone iterations for numerical solutions of reaction‐diffusion‐convection equations with time delay (1998) (11)
Monotone methods for a finite difference system of reaction diffusion equation with time delay (1998) (10)
Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer (2008) (10)
Numerical methods for nonlinear integro-parabolic equations of fredholm type (2001) (10)
Numerical methods for fourth-order elliptic equations with nonlocal boundary conditions (2016) (10)
Dynamics of Lotka–Volterra competition reaction–diffusion systems with degenerate diffusion (2015) (10)
Periodic solutions of systems of parabolic equations in unbounded domains (2000) (10)
Nonexistence of Global Solutions for an Integro-differential System in Reactor Dynamics (1980) (10)
Numerical methods for a coupled system of differential equations arising from a thermal ignition problem (2013) (9)
A nonlinear Boltzmann equation in transport theory (1974) (9)
Numerical solutions of a three-competition Lotka-Volterra system (2008) (9)
Monotone iterative methods for numerical solutions of nonlinear integro-elliptic boundary problems (2007) (9)
Numerical Methods for Systems of Nonlinear Parabolic Equations with Time Delays (1999) (9)
Nonexistence of global solutions and bifurcation analysis for a boundary-value problem of parabolic type (1977) (9)
Asymptotic behavior of a reaction-diffusion system in bacteriology (1985) (9)
Dynamics of food-chain models with density-dependent diffusion and ratio-dependent reaction function (2016) (9)
Asymptotic stability and nonexistence of global solution for a semilinear parabolic equation (1979) (9)
Stability and Asymptotic Behavior of Solutions (1992) (8)
Solution of a nonlinear Boltzmann equation for neutron transport in L1 space (1973) (8)
Asymptotic stability of a coupled diffusion system arising from gas-liquid reactions (1982) (8)
Nonlinear elliptic systems in unbounded domains (1994) (8)
Comparison Methods and Stability Analysis of Reaction Diffusion Systems (2020) (8)
Multiple solutions of a boundary-value problem in enzyme kinetics (1985) (8)
Finite difference solutions of reaction diffusion equations with continuous time delays (2001) (7)
Almost periodic plane wave solutions for reaction diffusion equations (1985) (7)
On the blowing-up behavior of solutions for a parabolic boundary value problem (1980) (7)
Global attractor of a coupled finite difference reaction diffusion system with delays (2003) (7)
Singular reaction diffusion equations of porous medium type (2009) (7)
Dynamics of a finite difference system of reaction diffusion equations with time delay (1998) (7)
Asymptotic behavior of temperature in a nonlinear radiating, linear absorbing rod of finite length (1977) (6)
Positive Solutions and Criticality of the Linear and Some Nonlinear Neutron Transport Problems (1977) (6)
Dynamics of Lotka–Volterra cooperation systems governed by degenerate quasilinear reaction–diffusion equations (2015) (6)
Existence and dynamics of quasilinear parabolic systems with time delays (2015) (6)
Comparison and Stability of Solutions for a Neutron Transport Problem with Temperature Feedback (1983) (6)
Semigroups and Asymptotic Stability of Nonlinear Differential Equations (1972) (6)
Positive solutions and subcriticality of energy dependent transport systems in slab geometry (1977) (6)
Convergence of coupled systems of nonlinear finite difference elliptic equations (1990) (6)
ON FOURTH-ORDER ELLIPTIC BOUNDARY VALUE PROBLEMS (2000) (6)
NONEXISTENCE OF GLOBAL SOLUTIONS AND BIFURCATION ANALYSIS FOR A BOUNDARY-VALUE PROBLEM OF PARABOLIC TYPE (2010) (5)
Method of Successive Approximations for Nonlinear Stationary Transport Equations (1974) (5)
NONEXISTENCE OF GLOBAL SOLUTIONS AND BIFURCATION ANALYSIS FOR A BOUNDARY-VALUE PROBLEM OF PARABOLIC TYPE (2010) (5)
An iterative method for solving a two‐point boundary‐value problem (1975) (5)
Positive solutions and dynamics of some reaction diffusion models in HIV transmission (1999) (5)
On stability of non-linear differential systems (1973) (5)
Asymptotic behavior and bifurcation analysis for a nonlinear diffusion system arising from gas-liquid absorption (1979) (5)
An iterative method for radiative transfer is a slab with specularly reflecting boundary (1975) (4)
Positive solution of a time and energy dependent neutron transport problem (1975) (4)
On nonlinear time-dependent multivelocity transport equations (1973) (4)
On the Energy-Dependent Neutron Transport Problem with Arbitrary Geometry (1976) (4)
Parabolic and Elliptic Equations in Unbounded Domains (1992) (4)
Time delayed parabolic systems with coupled nonlinear boundary conditions (2001) (4)
On a nonuniform parabolic equation with mixed boundary condition (1975) (4)
Dynamics of degenerate quasilinear reaction diffusion systems with nonnegative initial functions (2017) (4)
Stability analysis of the neutron transport equation with temperature feedback (1983) (4)
Neutron transport in a reactor system with temperature feedback (1981) (4)
Green's Function Method for Periodic Traveling Wave Solutions of the KdV Equation (1983) (4)
Stability analysis of a coupled diffusion-transport system for oxygen transport in blood and tissue (1985) (3)
Boundary-Value Problems of a Degenerate Sobolev-Type Differential Equation (1977) (3)
Stability and attractivity of periodic solutions of parabolic systems with time delays (2005) (3)
Numerical Methods for Quasi-Linear Elliptic Equations with Nonlinear Boundary Conditions (2007) (3)
The Energy-Dependent Diffusion System in Nuclear Reactor Dynamics (1975) (3)
On periodic traveling wave solutions of Boussinesq equation (1984) (3)
Critical length of a transport process in rod geometry (1976) (3)
Viscosity solutions of a class of degenerate quasilinear parabolic equations with Dirichlet boundary condition (2012) (3)
Successive approximations for a time dependent scattering process (1975) (3)
Stability theory of nonlinear operational differential equations in Hilbert spaces (1969) (3)
Eigenvalue Problems of a Degenerate Quasilinear Elliptic Equation (2010) (3)
Stability and instability of the energy dependent diffusion system in reactor dynamics (1981) (2)
Asymptotic behavior of solutions for a parabolic equation with nonlinear boundary conditions (1980) (2)
Numerical methods for coupled systems of quasilinear elliptic equations with nonlinear boundary conditions (2015) (2)
Population growth described by a nonlinear boundary value problem of parabolic type (1975) (2)
Global attractors of some predator–prey reaction–diffusion systems with density-dependent diffusion and time-delays (2018) (2)
Global attractor of coupled difference equations and applications to Lotka-Volterra systems (2005) (2)
Numerical methods for the linear Boltzmann transport equation in slab geometry (1986) (2)
Quenching problem of a reaction-diffusion equation with time delay (2000) (2)
Stability of a coupled reaction diffusion system (1984) (2)
On a coupled system of reaction–diffusion-transport equations arising from catalytic converter (2013) (2)
ASYMPTOTIC STABILITY AND NON-EXISTENCE OF GLOBAL SOLUTION FOR A SEMI-LINEAR PARABOLIC EQUATION (2004) (2)
Reaction diffusion systems with time delays in a half-space domain (2001) (2)
Entire Solutions of Discrete Elliptic Equations (2003) (2)
Bounds for the Critical Length of a Slab with Finite Reflectors in Neutron Transport (1978) (1)
Dynamics of reaction-diffusion systems and applications (1997) (1)
Systems of Parabolic Equations with Continuous and Discrete Delays (1997) (1)
Equations with Nonlinear Boundary Conditions (1992) (1)
On the asymptotic stability of differential equations in Banach spaces (1973) (1)
The existence and stability of solutions to nonlinear operator differential equation (1969) (1)
Systems of Parabolic Equations with Continuous and Discrete Delays (1997) (1)
GLOBAL ATTRACTOR OF COUPLED DIFFERENCE EQUATIONS AND APPLICATIONS TO LOTKA-VOLTERRA SYSTEMS (2005) (1)
Systems with Nonlinear Boundary Conditions (1992) (1)
Subcriticality and supercriticality of energy dependent neutron transport in slab geometry (1978) (1)
Blowing-Up Behavior of Solutions (1992) (0)
An iterative method for solving a non-stationary radiation diffusion system (1978) (0)
Asymptotic Limit and Blowing-Up Behavior of Solutions (1992) (0)
NONEXISTENCE OF GLOBAL SOLUTIONS AND BIFURCATION ANALYSIS FOR A BOUNDARY-VALUE PROBLEM OF PARABOLIC TYPE (2010) (0)
ON A NONUN 1 FORM PARABOLIC EQUATION WITH MIXED BOUNDARY CONDITION (2010) (0)
GLOBAL ATTRACTOR OF COUPLED DIFFERENCE EQUATIONS AND APPLICATIONS TO LOTKA-VOLTERRA SYSTEMS (2009) (0)
Global attractor of a coupled finite difference reaction diffusion system with delays (2003) (0)
ASYMPTOTIC BEHAVIOR OF TEMPERATURE IN A NONLINEAR RADIATING , LINEAR ABSORBING ROD OF FINITE LENGTH (2016) (0)
Criticality of neutron transport in a slab with finite reflectors (1978) (0)
ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITIONS (2010) (0)
On the uniqueness problem of differential equations in normed spaces (1975) (0)
NONEXISTENCE OF GLOBAL SOLUTIONS AND BIFURCATION ANALYSIS FOR A BOUNDARY-VALUE PROBLEM OF PARABOLIC TYPE (2010) (0)
Elliptic Boundary-Value Problems (1992) (0)
Corrigendum to “Finite difference reaction–diffusion systems with coupled boundary conditions and time delays”: [J. Math. Anal. Appl. 272 (2002) 407–434] (2003) (0)
Applications of Coupled Systems to Model Problems (1992) (0)
ON A NONUN 1 FORM PARABOLIC EQUATION WITH MIXED BOUNDARY CONDITION (2010) (0)
Review: G. S. Ladde, V. Lakshmikantham, and A. S. Vatsala, Monotone iterative techniques for nonlinear differential equations (1988) (0)
GLOBAL ATTRACTOR OF COUPLED DIFFERENCE EQUATIONS AND APPLICATIONS TO LOTKA-VOLTERRA SYSTEMS (2005) (0)
NONEXISTENCE OF GLOBAL SOLUTIONS AND BIFURCATION ANALYSIS (2010) (0)
The kinetics of diffused substances in some biological systems (1978) (0)
The existence and stability of nonlinear wave equations (1969) (0)
ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A PARABOLIC EQUATION WITH NONLINEAR BOUNDARY CONDITIONS (2010) (0)
ASYMPTOTIC LIMIT AND BLOWING-UP BEHAVIOR OF SOLUTIONS FOR A REACTION-DIFFUSION SYSTEM (1982) (0)
A Three-Compartment Reaction System with the Effect of Diffusion and Time Delay (2020) (0)
A Boltzmann-type equation in the kinetic theory of vehicular traffic (1976) (0)
Coupled Systems of Reaction Diffusion Equations (1992) (0)
NONEXISTENCE OF GLOBAL SOLUTIONS AND BIFURCATION ANALYSIS (2010) (0)
Dynamics of Nonlinear Parabolic Systems with Time Delays (1996) (0)
TIME DELAYED PARABOLIC SYSTEMS WITH COUPLED NONLINEAR BOUNDARY CONDITIONS (2001) (0)
Finite difference reaction – diffusion systems with coupled boundary conditions and time delays (2002) (0)