Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations

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This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.
 

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Contents

Preface
1
CHAPTER
7
CHAPTER 2
53
FIRST ORDER DIFFERENTIAL EQUATIONS CONTD
102
CHAPTER 3
131
CHAPTER 4
204
CHAPTER 5
225
CHAPTER 6
248
FUNCTIONAL DIFFERENTIAL EQUATIONS
251
CHAPTER 9
272
NOTES
295
Copyright

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Page 301 - Conditions for the existence and uniqueness of a solution of the Cauchy problem for a system of ordinary differential equations with hysteresis nonlinearities', Dokl.
Page 305 - The method of successive approximations and a uniqueness theorem of Krasnoselskii and Krein in the theory of differential equations, Indagationes Math, 20 (1958), 322-327.
Page 308 - Condition nécessaire et suffisante remplie par les équations différentielles ordinaires sans points de Peano. Mem. Coll. Sci. Univ. Kyoto. Ser. A, 24 (1942), 2128.
Page 305 - MA Krasnosel'skii and SG Krein, On a class of uniqueness theorems for the equation У
Page 304 - The exact amount of nonuniqueness for singular ordinary differential equations in Banach spaces with an application to the Euler-Poisson-Darboux equations, Nonlinear Equations in Abstract Spaces, V.

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