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Counter Examples in Differential Equations and Related Topics cover

This collection of counter-examples highlights the theory of differential equations and related topics which is now playing an enormously important role in the area of science, engineering and mathematics.

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Contents:
  • Continuity and Linearity
  • Differentiability and Analyticity
  • Extrema
  • Existence
  • Uniqueness
  • Stability
  • Singularities
  • Dynamical Systems
  • Integral Equations
  • Other Topics
  • Open Problems

Readership: Undergraduate, graduate students and researchers in mathematical physics.
Free Access
FRONT MATTER
  • Pages:i–vii

https://doi.org/10.1142/9789814439343_fmatter

No Access
CONTINUITY AND LINEARITY
  • Pages:1–3

https://doi.org/10.1142/9789814439343_0001

No Access
DIFFERENTIABILITY AND ANALYTICITY
  • Pages:4–5

https://doi.org/10.1142/9789814439343_0002

No Access
EXTREMA
  • Pages:6–9

https://doi.org/10.1142/9789814439343_0003

No Access
EXISTENCE
  • Pages:10–45

https://doi.org/10.1142/9789814439343_0004

No Access
UNIQUENESS
  • Pages:46–93

https://doi.org/10.1142/9789814439343_0005

No Access
STABILITY
  • Pages:94–131

https://doi.org/10.1142/9789814439343_0006

No Access
SINGULARITIES
  • Pages:132–137

https://doi.org/10.1142/9789814439343_0007

No Access
DYNAMICAL SYSTEMS
  • Pages:138–149

https://doi.org/10.1142/9789814439343_0008

No Access
INTEGRAL EQUATIONS
  • Pages:150–157

https://doi.org/10.1142/9789814439343_0009

No Access
OTHER TOPICS
  • Pages:158–164

https://doi.org/10.1142/9789814439343_0010

No Access
OPEN PROBLEMS
  • Page:165

https://doi.org/10.1142/9789814439343_0011

Free Access
BACK MATTER
  • Pages:166–183

https://doi.org/10.1142/9789814439343_bmatter

“The author knows his business: he has chosen the right counterexamples at the right time. The section on plane autonomous systems is particularly felicitous, and should be consulted by whoever teaches elementary differential equations (some of the examples are really cute and we will use them in our 400-student course next year). Why can't mathematicians write more books like this one?”

G C Rota
MIT