Existence Theory for Nonlinear Ordinary Differential Equations

• 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.

'I warmly recommend it to everyone interested in ordinary differential equations and its applications.' Acta Sci. Math., 64 (1998)