Existence Theory for Nonlinear Ordinary Differential Equations

Häftad, Engelska, 2010

AvDonal O'Regan

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This book presents an up-to-date account of many topics of current interest in the theory of nonlinear ordinary differential equations. Topics include fixed point theory, periodic problems, lower and upper surfaces, positone and semi-positone problems, singular equations, limit circle problems, finite and infinite interval problems, and impulsive differential equations. In addition many important applications are presented to complement the theory. Audience: This work will be of interest to theoretical and applied mathematicians, and graduate students in the above disciplines.

Produktinformation

Utgivningsdatum2010-12-06
Mått155 x 235 x 12 mm
Vikt330 g
FormatHäftad
SpråkEngelska
SerieMathematics and Its Applications
Antal sidor200
FörlagSpringer
ISBN9789048148356

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1. Introduction, notation and preliminaries.- 2. Fixed point theory.- 3. Initial value problems.- 4. First order periodic problems.- 5. Existence principles for second order boundary value problems.- 6. Boundary value problems without growth restrictions.- 7. Positone boundary value problems.- 8. Semi-positone boundary value problems.- 9. Differential equations singular in the solution variable.- 10. Existence principle for singular boundary problems.- 11. Nonresonance problems in the limit circle case.- 12. Resonance problems in the limit circle case.- 13. Boundary value problems on the half line.- 14. Existence theory for ordinary differential equations on compact and noncompact intervals.- 15. Impulsive differential equations.- 16. Differential equations in abstract spaces.