Mark Krasnoselsky

Mark Krasnoselsky's AcademicInfluence.com Rankings

Mark Krasnoselsky

Mathematics

#2711

World Rank

#4129

Historical Rank

Functional Analysis

#36

World Rank

#50

Historical Rank

Measure Theory

#3662

World Rank

#4321

Historical Rank

mathematics Degrees

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Mathematics

Mark Krasnoselsky's Degrees

Doctorate Mathematics Moscow State University

Why Is Mark Krasnoselsky Influential?

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According to Wikipedia, Mark Aleksandrovich Krasnoselsky was a Soviet and Russian mathematician renowned for his work on nonlinear functional analysis and its applications. Biography Early years Mark Krasnoselsky was born in Starokostiantyniv, where his father worked as a construction engineer and his mother taught in an elementary school. In 1932 the Krasnoselsky family moved to Berdiansk and in 1938 Mark entered the physico-mathematical faculty of Kyiv University, which was evacuated at the beginning of World War II to Kazakhstan where it became known as the Joint Ukrainian University.

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Mark Krasnoselsky'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

Systems with Hysteresis (1989) (1074)
Integral operators in spaces of summable functions (1975) (698)
Small solutions of operator equations (1972) (104)
Solvability of nonlinear operator equations (1971) (36)
On a class of linear positive operators (1971) (20)
Generalized guiding functions in a problem on high frequency forced oscillations (1994) (19)
Desynchronization of linear systems (1984) (16)
Non-zero solutions of equations with strong nonlinearities (1969) (12)
THE THEORY OF PERIODIC SOLUTIONS OF NON-AUTONOMOUS DIFFERENTIAL EQUATIONS (1966) (12)
On a fixed-point principle for operators in a Hilbert space (1967) (10)
Chaotic dynamics in nonsmooth perturbations of bishadowing systems (2000) (9)
Hysteresis systems with variable characteristics (1992) (9)
Robustness of dynamical systems to a class of nonsmooth perturbations (1996) (8)
Regular fixed points and stable invariant subsets of monotone operators (1996) (8)
THE PARAMETER FUNCTIONALIZATION METHOD IN THE EIGENVALUE PROBLEM (1999) (7)
Spectral clearance of a focusing operator (1983) (6)
On some new types of mathematical models of complex systems (1988) (6)
AN OPERATOR METHOD FOR INVESTIGATING THE STABILITY OF CYCLES IN HOPF BIFURCATION (1996) (5)
Non-Linear Integral Equations (1975) (5)
Toward a theory of equation with concave operations (1969) (5)
Stability Analysis of Desynchronized Systems (1990) (5)
On some conditions for existence of forced periodic oscillations (1992) (5)
On Canonical States of Continual Systems of Relays Plenary lecture held at the Annual GAMM Conference, Braunschweig, April 4–9, 1994, by M. Krasnosel'Skii. MSC (1991): 78A25, 34C15, 73R05, 93A25 (1995) (4)
Potential Bounds in Nonpotential Two‐Point Boundary ‐ Value Problems (1997) (4)
INVESTIGATION OF THE GREEN'S FUNCTION FOR DIFFERENTIAL OPERATORS WITH ALMOST PERIODIC COEFFICIENTS (1969) (3)
The Hopf bifurcation for autonomous systems with hysteresis (1997) (3)
A class of linear operators in the space of abstract continuous functions (1967) (3)
PARAMETER FUNCTIONABILITY AND ASYMPTOTIC BEHAVIOR OF CYCLES IN HOPF'S BIFURCATION (1996) (3)
NEW THEOREMS ON PERIODIC FORCED VIBRATIONS AND BOUNDED SOLUTIONS (1991) (3)
Incomplete corrections in nonlinear problems (1995) (3)
Eleven Papers on Analysis, Probability and Topology (1959) (2)
Potential bounds in problems on quasilinear elliptic equations (1999) (2)
Bounds for the spectral radius of positive operators (1967) (2)
CONDITIONS OF CYCLE STABILITY FOR THE HOPF BIFURCATION AT INFINITY (1997) (2)
Some problems connected with the method of minimal residuals (1979) (2)
Fixed points of discontinuous operators (1973) (2)
Finding the extremum of a function on a polyhedron (1963) (2)
Differential inequalities in problems of forced nonlinear oscillations (1995) (2)
New problems in systems with hysteresis (1996) (1)
Parameter-functionalization method in the problem of bifurcation points (1980) (1)
Principles of rotational invariance of a completely continuous vector field (1967) (1)
Equations with smooth operators (1972) (1)
THE NEW RESULTS IN THE THEORY OF PERIODIC OSCILLATION IN NONLINEAR CONTROL SYSTEMS (1990) (1)
Differential inequalities for hysteresis systems (1996) (1)
VLADIMIR IVANOVICH SOBOLEV (on his sixtieth birthday) (1974) (1)
ESTIMATES FOR THE NUMBER OF FORCED PERIODIC OSCILLATIONS IN NONLINEAR SYSTEMS (1998) (0)
Iteration methods with incomplete corrections and solution of nonlinear equations (1997) (0)
Algorithms for nonparametric identification of linear systems (1991) (0)
Functional Analysis and Dynamics of Nonlinear Control Systems (1987) (0)
Integral Equations with Non-Negative Kernels (1975) (0)
Fifteen Papers on Analysis (1966) (0)
Vibro-correct differential equations and variable hysterons (1989) (0)
Some notes on Seidel's method (1969) (0)
Potential bounds in nonpotential boundary-value problems (1998) (0)
Investigation scheme for extremals of multidimensional variational problems (1994) (0)
ON MODELLING SYSTEMS WITH NON-SYNCHRONOUSLY IMPULSE ELEMENTS OPERATING (1990) (0)
Identification of linear system on the basis of two tests (1990) (0)
Iterations with incomplete corrections for linear systems with self-conjugate operators (1994) (0)
On some algorithms for non-parametric identification of linear systems (1994) (0)
Yurii Grigor'evich Borisovich (on his sixtieth birthday) (1990) (0)
Integral Equations with Convolution Kernels (1975) (0)
Aleksandr Vladimirovich Tovbin (1915-1943) (1970) (0)
Seven Papers on Analysis (1967) (0)
On a class of nonlinear problems and related special properties of linear operators (1996) (0)
On the stabilisation of the solutions of optimal problems (1963) (0)
On a posteriori error estimates when seeking an eigenvector (1984) (0)
Nonlinear systems with partial correction and their stability (1991) (0)
On the Existence and Constancy of Sign of Green's Function of Scalar Equations of High Order with almost Periodic Coefficients (1969) (0)
POTENTIAL BOUNDS AND EXISTENCE OF SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS (1998) (0)
The Integral Equations of Mathematical Physics (1975) (0)
One-Dimensional Singular Equations (1975) (0)
Continuous and Compact Linear Operators (1975) (0)
The Fredholm Theory (1975) (0)
Thirteen papers in analysis (1958) (0)
Anatolii Dmitrievich Myshkis (on his seventieth birthday) (1990) (0)
On modelling systems with non-synchronously operating impulse elements (1990) (0)
Eight Papers on Differential Equations and Functional Analysis (1966) (0)
Potential estimates in nonpotential boundary value problems (1998) (0)
Vector hysteresis nonlinearities of the Mises-Tresk type (1981) (0)
ITERATION PROCEDURES WITH INCOMPLETE CORRECTIONS AND SOLUTION OF NONLINEAREQUATIONS (1997) (0)
Sharp linear operators (1984) (0)
Self-Magnetization Phenomenon (1989) (0)
JAZ volume 3 issue 3 Cover and Back matter (1963) (0)
EQUICONVERGENCE THEOREMS FOR ALGORITHMS OF NONPARAMETRIC IDENTIFICATION (1992) (0)
Relativity principles for differential equations with unbounded operators in A Banach space (1968) (0)
Eleven Papers on Differential Equations, Functional Analysis and Measure Theory (1966) (0)
POTENTIAL NONLINEAR SYSTEMS WITH INCOMPLETE CORRECTIONS (1996) (0)
Complex hysteresis nonlinearities (1989) (0)
Multidimensional Singular Equations (1975) (0)

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Mark Krasnoselsky's Published Works

Published Works

Other Resources About Mark Krasnoselsky

What Schools Are Affiliated With Mark Krasnoselsky?

Mark Krasnoselsky's AcademicInfluence.com Rankings