Maria Meehan

Existence theory for nonlinear integral and integrodifferential equations

Preface. 1. Introduction and Preliminaries. 2. Existence Theory for Nonlinear Fredholm and Volterra Integrodifferential Equations. 3. Solution Sets of Abstract Volterra Equations. 4. Existence Theory for Nonlinear Fredholm and Volterra Integral Equations on Compact Intervals. 5. Existence Theory for Nonlinear Fredholm and Volterra Integral Equations on Half-Open Intervals. 6. Existence Theory for Nonlinear Nonresonant Operator and Integral Equations. 7. Existence Theory for Nonlinear Resonant Operator and Integral Equations. 8. Integral Inclusions. 9. Approximation of Solutions of Operator Equations on the Half Line. 10. Operator Equations in Banach Spaces Relative to the Weak Topology. 11. Stochastic Integral Equations. 12. Periodic Solutions for Operator Equations. Index.

Existence theory for nonlinear Fredholm and Volterra integral equations on half-open intervals

In this chapter we present existence theory for the nonlinear Fredholm integral equation

Periodic solutions for abstract operator equations

y(t) = h(t) + \smallint _0^T k(t,s)g(s,y(s))ds,

Stochastic Integral Equations

(4.1.1) and the nonlinear Volterra integral equation

Existence Theory for Nonlinear Nonresonant Operator and Integral Equations

y(t) = h(t) + \smallint _0^t k(t,s)g(s,y(s))ds,

Positive solutions of Volterra integral equations using integral inequalities

(4.1.2) when both are defined on the compact interval [0, T]. Naturally we first concern ourselves with existence principles for both equations.