Mitio Nagumo
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Japanese mathematician
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Mitio Nagumomathematics Degrees
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Differential Geometry
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Mathematics
Mitio Nagumo's Degrees
- PhD Mathematics University of Tokyo
- Masters Mathematics University of Tokyo
- Bachelors Mathematics University of Tokyo
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Why Is Mitio Nagumo Influential?
(Suggest an Edit or Addition)According to Wikipedia, Mitio Nagumo was a Japanese mathematician, who specialized in the theory of differential equations. He gave the first necessary and sufficient condition for positive invariance of closed sets under the flow induced by ordinary differential equations .
Mitio Nagumo'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
- Über die Lage der Integralkurven gewöhnlicher Differentialgleichungen (1942) (383)
- Hydrogen related failure of steels – a new aspect (2004) (346)
- Über eine Klasse der Mittelwerte (278)
- Hydrogen thermal desorption relevant to delayed-fracture susceptibility of high-strength steels (2001) (243)
- Effect of surface roughness on early stages of pitting corrosion of Type 301 stainless steel (1997) (170)
- Function of Hydrogen in Embrittlement of High-strength Steels (2001) (168)
- Delayed fracture of beta titanium orthodontic wire in fluoride aqueous solutions. (2003) (97)
- Hydrogen embrittlement of Ni-Ti superelastic alloy in fluoride solution. (2003) (94)
- Über das Anfangswertproblem Partieller Differentialgleichungen (1941) (92)
- Nature of hydrogen trapping sites in steels induced by plastic deformation (1999) (88)
- Über die Differentialgleichung y"= ƒ(x, y, y') (1937) (84)
- Optimum Microalloying of Niobium and Boron in HSLA Steel for Thermomechanical Processing (1987) (68)
- Air-oxidation and anodization of pitch-based carbon fibers (1999) (63)
- Hydrogen embrittlement of nickel-titanium alloy in biological environment (2002) (61)
- Deformation induced defects in iron revealed by thermal desorption spectroscopy of tritium (1999) (58)
- Degradation of tensile strength of Ni–Ti superelastic alloy due to hydrogen absorption in methanol solution containing hydrochloric acid (2003) (57)
- Function of hydrogen in intergranular fracture of martensitic steels (2002) (56)
- Flow Stress and Work-Hardening of Pearlitic Steel (1970) (55)
- Microstructures relevant to brittle fracture initiation at the heat-affected zone of weldment of a low carbon steel (1996) (53)
- Delayed fracture of Ni-Ti superelastic alloys in acidic and neutral fluoride solutions. (2004) (53)
- Susceptibility to delayed fracture of Ni-Ti superelastic alloy (2003) (53)
- Hydrogen embrittlement of some Fe-base amorphous alloys (1976) (52)
- Plasma treatment of pitch-based ultra high modulus carbon fibers (1999) (52)
- Deformation-induced defects controlling fracture toughness of steel revealed by tritium desorption behaviors (2000) (51)
- Eine hinreichende Bedingung für die Unität der Lösung von Differentialgleichungen erster Ordnung (51)
- Structural Alterations of Bearing Steels under Rolling Contact Fatigue (1970) (50)
- The effect of chloride concentration on early stages of pitting for type 304 stainless steel revealed by the AC impedance method (1997) (48)
- The Hall-Petch Relationship in Nanocrystalline Materials (1997) (45)
- Simulation of hydrogen thermal desorption under reversible trapping by lattice defects (2003) (44)
- Amorphization associated with crack propagation in hydrogen-charged steel (2003) (42)
- Identification of Trapping Sites in High-Strength Steels by Secondary Ion Mass Spectrometry for Thermally Desorbed Hydrogen (1996) (40)
- The observation of the early stages of pitting on passivated type 304 stainless steel in a 0.5 M NaCl solution at low potentials in the passive region by using the AC impedance method (1996) (39)
- Effect of constituent phase of Ni-Ti shape memory alloy on susceptibility to hydrogen embrittlement (2004) (38)
- The effect of chromium enrichment in the film formed by surface treatments on the corrosion resistance of type 430 stainless steel (1996) (38)
- Microstructures Dominating the Ductility of Eutectoid Pearlitic Steels (1978) (35)
- Ductile Crack Growth Resistance in Hydrogen-Charged Steels. (2001) (35)
- Fracture associated with hydrogen absorption of sustained tensile-loaded titanium in acid and neutral fluoride solutions. (2004) (35)
- Fatigue damage and its interaction with hydrogen in martensitic steels (2003) (34)
- Accelerated failure in high strength steel by alternating hydrogen-charging potential (2001) (33)
- Hydrogen Trapping Characteristics of Cold-Drawn Pure Iron and Eutectoid Steel Evaluated by Thermal Desorption Spectrometry (1998) (29)
- Detection of hydrogen trap distribution in steel using a microprint technique (2003) (29)
- Crystallographic Features and Formation Processes of Pearlite Block (1978) (26)
- Microscopic Process of Failure and Mechanism of Hydrogen Embrittlement of Iron (1981) (23)
- Deformation Microstructures of a Low Carbon Steel Characterized by Tritium Autoradiography and Thermal Desorption Spectroscopy (1994) (23)
- Über die gleichmässige Summierbarkeit und ihre Anwendung auf ein Variationsproblem (21)
- Fracture process of a low carbon low alloy steel relevant to charpy toughness at ductile-brittle fracture transition region (1995) (19)
- Brittle fracture initiation in low carbon steels at the ductile-brittle transition temperature region (1994) (19)
- Enhanced susceptibility to delayed fracture in pre-fatigued martensitic steel (2003) (19)
- Optimum Chemical Composition and Thermomechanical Processing Condition for Niobium-Boron Steel (1987) (18)
- Second harmonic generation at a silver electrode in the presence of phthalazine (1986) (18)
- Metastable States during Reaction Milling of hcp Transition Metals with Hydrocarbon (1996) (17)
- Structural relaxation in amorphous Ni-Ti alloys prepared by mechanical alloying (1997) (17)
- Metastable intermediate phase formation at reaction milling of titanium and n-heptane (1995) (17)
- Fundamental Aspects of Hydrogen Embrittlement of Iron. (1994) (16)
- A criterion of ductile fracture on the tensile testing of a perforated mild steel sheet (1973) (16)
- The effect of SO42− concentration in NaCl solution on the early stages of pitting corrosion of type 430 stainless steel (1997) (15)
- Anodic surface oxidation mechanisms of PAN-based and pitch-based carbon fibres (1999) (15)
- Brittle fracture initiation associated with the strain localization in a heat-affected zone of a low carbon steel (1998) (14)
- Effect of Combined Addition of Niobium and Boron on Thermomechanically Processed Steel (1986) (13)
- Über das Verhalten der Integrale von λy"+ƒ(x, y, y, 'λ)=0 fur λ→0 (1939) (13)
- Structural and mechanical properties of fine composites prepared by TiSi3N4 solid state reactions (1994) (13)
- Mechanochemical reaction of TiAl with hydrocarbon during mechanical alloying (1992) (13)
- FEM Analysis of Ductile Crack Growth in Fracture Transition Region for Steels with Different Void Nucleation Frequency (1998) (12)
- Über das Randwertproblem der nicht linearen gewohnlichen Differentialgleichungen zweiter Ordnung (1942) (11)
- Characterizations of mechanically alloyed Ti–Zr–Cu–Ni powders (1998) (11)
- Microstructures controlling the ductile crack growth resistance of low carbon steels (1998) (11)
- Reaction Milling of Metals with Hydrocarbon or Ceramics (Overview) (1995) (11)
- Structural Relaxation in Amorphous Ni50Ti50 Alloy Prepared by Mechanical Alloying (1995) (10)
- Resistance against the Stable Crack Growth and Brittle Fracture Initiation Site Controlling the Ductile-Brittle Fracture Transition Behaviors of Low Carbon Steels (1995) (9)
- Intermediate phase in synthesis of TiSi2 by mechanical alloying and annealing (2004) (9)
- Amorphization Tendency of Ti34Zr11Cu47Ni8 and Ti37Zr17Cu42Ni4 during Mechanical Alloying (1998) (9)
- Synthesis, Structure, and Superconducting Properties of NbC Nanorods and Nanoparticles (1999) (8)
- Superconductivity in High Tc Rare Earth–Ba–Cu Oxide (1987) (8)
- Eine Art der Randwertaufgabe von Systemen gewöhnlicher Differentialgleichungen, III (1943) (8)
- High Hardness TiAl Alloys Through Reaction Milling and Hot Compaction (1992) (7)
- Effect of Cyclic Stressing on Delayed Fracture of High Strength Steel (1997) (7)
- Uber die Ungleichung ∂u/∂y>f(x, y, u, ∂u/∂x) (1939) (7)
- Detecting stable crack onset at ductile-brittle transition in steels (1996) (7)
- Effect of Precipitation Behavior of AlN on Abnormal Growth of Ferrite Grains in Low-carbon Steel Wires (1984) (7)
- Influence of HNO3 treatments on the early stages of pitting of type 430 stainless steel (2000) (6)
- Synthesis of TiAl-Al2Ti4C2 Composite by Reaction Milling (1995) (6)
- Eine hinreichende Bedingung für die Unität der Lösung von gewöhnlichen Differentialgleichungen n-ter Ordnung (5)
- Improvement of Delayed Fracture Strength of High Strength Steels by Intergranular Ferrite Precipitation (1996) (5)
- Chemical short-range order in amorphous Cu_Ti prepared by mechanical alloying (1994) (4)
- A Kinetics Model for Carbide Precipitation during Over-aging in Continuous Annealing of Low-carbon, Cold-rolled Sheet Steels (1986) (4)
- EXAFS study on crystallization of mechanically prepared CuTi amorphous alloy (1993) (4)
- Failure Process of Bearing Steel in Rolling Contact Fatigue (1971) (4)
- Uber das Verfahren der sukzessiven Approximationen zur Integration gewöhnlicher Differentialgleichung und die Eindeutigkeit ihrer Integrale (4)
- Dependence of the Dislocation Density on the Strain Rate (1967) (4)
- Superplastic Behavior of Composites Prepared from Mechanically Alloyed Ti-Si3N4 Powders (1996) (4)
- Charakterisierung der allgemeinen euklidischen Räume durch eine Postulate für Schwerpunkte (1935) (3)
- Effect of Central Segregation on Drawability of High-carbon Steel Wire Rod Manufactured from Continuously Cast Blooms (1988) (3)
- Über das System der gewöhnlichen Differentialgleichungen (3)
- Crystallization Kinetics of Amorphous Cu 50 Ti 50 Alloy Prepared by Mechanical Grinding (1990) (3)
- Derivation of a Kinetics Model for Solute Carbon during Rapid-cooling in Continuous Annealing Process for Low-carbon, Cold-rolled Sheet Steels (1985) (3)
- Role of Microstructures on Fracture Toughness of Heat Affected Zone of Ti-killed Steel (1997) (3)
- Strengthening of Low Carbon Low Alloy Steels by Rolling at Austenite-Ferrite Two Phase Regions (1979) (2)
- Effect of Composition and Processing Variables on Thermomechanically Processed Niobium-Boron Steel (1986) (2)
- Über die Konvergenz der Integrale der Funktionenfolgen und ihre Anwendung auf das gewöhnliche Differentialgleichungssystem (2)
- Fracture Process of a Control-Rolled Steel in the Ductile to Brittle Transition Temperature Region (1990) (2)
- Effect of Hot Rolling Conditions on Annihilation of Porosities in Continuous Casting Slabs (1980) (2)
- A New Etching Method of Deformation-induced Martensite in Type 304 Stainless Steel Hot Rolled Plate (2003) (2)
- Microstructure and High Temperature Tensile Properties of TiC/Ti 5 Si 3 /Ti 3 SiC 2 Fine Composites Prepared by Mechanical Alloying (1998) (2)
- Hot shortness of copper-containing steel in the controlled rolling process (1983) (2)
- The Load Drop Phenomenon at the Fracture Toughness Test of the Heat Affected Zone of a Low Carbon Steel (1997) (2)
- Mechanism of the Formation of Columnar Structure in Low-carbon Steel Wires during Annealing (1984) (2)
- Effects of Hydrogen on Mechanical Behavior of Steels (2004) (1)
- Growth Kinetics of Intergranular Allotriomorph Ferrite in V-containing Steel (1998) (1)
- GLASS FORMING ABILITY OF Fe-BASE ALLOYS (1980) (1)
- The Effects of Hydrogen on the Plastic Behavior of Iron (1980) (1)
- An Abnormal Saturation Behavior in High Resolution Proton Magnetic Resonance Spectra (1959) (1)
- Inconsistency in Transition Temperature by Testing Methods of Low Carbon Steels (1995) (1)
- Microstructural Evolution of Commercial Ti and Zr Powders during Mechanical Milling (1999) (1)
- Effect of Isothermal Holding in Austenite Region on Proeutectoid Ferrite Growth Rate in a V-C-N Steel (1998) (1)
- Mechanical Milling of Pure Ti and Pure Zr (1998) (1)
- Development of 1.5 Ni-CLC steel for LPG storage tanks (1986) (1)
- Effect of impurities on Nuclear Magnetic Resonance Spectra of Co59 (1964) (0)
- High-Temperature Deformation of TiAl/Ti2AlC Composites Produced by Reaction Milling (1996) (0)
- Hydrogen States and Lattice Defects in Steels (1999) (0)
- Effect of Thermal Cycles on Toughness of Heat Affected Zone of a Ti-killed Steel (1998) (0)
- Effect of Austenitizing Temperature on Intergranular Proeutectoid Ferrite Nucleation in a V-N Steel (1999) (0)
- Nuclear Magnetic Resonance in Metals (1965) (0)
- Fracture Toughness Improvement Mechanism of Calcium Treated Steel (1999) (0)
- HIGH STRENGTH BEND PIPE FOR LOW TEMPERATURE SERVICE (1986) (0)
- Anwendung der Variationsrechnung auf geuöhnliche Differentialgleichungssysteme welche willkürliche Funktionen enthalten (0)
- A process for producing an article made of steel (1976) (0)
- Effect of Nitriding Condition on Magnetic Properties of Mechanically Alloyed Sm 2 Fe 17 N x Compounds (1993) (0)
- Metallurgical Aspects of Hot Rolling of Heavy Plates from Continuously-cast Slabs (1984) (0)
- Recent trends in steel technology. (1987) (0)
- Temperature Dependence and Scattering of Toughness of A533 B Steels in Ductile-Brittle Transition Region (1991) (0)
- Über das Verhalten der Folge der Integralsysteme von gewöhnlichen Differentialgleichungen (0)
- Über die Ordnung etner Permutation (1933) (0)
- Ueber den Mittelwert, der durch die kleinste Abweichung definiert wird (1933) (0)
- Line pipe steels for sour service (1983) (0)
- Über die Nullstellen der Integrale von gewöhnlichen linearen homogenen Differentialgleichungen, II (0)
- Prevention of abnormal growth of recrystallized ferrite grains in low-carbon steel wires (1986) (0)
- Relation between Hot Rolling Conditions and Mechanical Properties of Heavy Plates Produced from Thin Continuously-cast Slabs (1984) (0)
- Structure Evolution upon Heating of Mechanically Alloyed Ti34Zr11Cu47Ni8 Powders (1998) (0)
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