Uniqueness and Nonuniqueness Criteria for Ordinary Differential Equations

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World Scientific, 1993 - Mathematics - 312 pages
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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

Section 1
1
Section 2
55
Section 3
83
Section 4
86
Section 5
102
Section 6
108
Section 7
128
Section 8
134
Section 11
208
Section 12
210
Section 13
225
Section 14
248
Section 15
251
Section 16
263
Section 17
272
Section 18
282

Section 9
175
Section 10
204
Section 19
295

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Popular passages

Page 309 - 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 308 - On a mean-value theorem of the differential calculus of vector -valued functions, and uniqueness theorems for ordinary differential equations in a linear normed space, in: Contributions to Differential Equations, Vol.

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