Positive solutions of differential, difference and integral equations. (English) Zbl 1157.34301

Agarwal, Ravi P.; O’Regan, Donal; Wong, Patricia J. Y.

Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-5510-5/hbk). xi, 417 p. (1999).

Publisher’s description: In analysing nonlinear phenomena many mathematical models give rise to problems for which only nonnegative solutions make sense. In the last few years this discipline has grown dramatically. This state-of-the-art volume offers the authors’ recent work, reflecting some of the major advances in the field as well as the diversity of the subject.
This volume will be of interest to graduate students and researchers in mathematical analysis and its applications, whose work involves ordinary differential equations, finite differences and integral equations.

MSC:

34-02	Research exposition (monographs, survey articles) pertaining to ordinary differential equations
34B18	Positive solutions to nonlinear boundary value problems for ordinary differential equations
34A12	Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34B15	Nonlinear boundary value problems for ordinary differential equations
39A10	Additive difference equations
45G05	Singular nonlinear integral equations
45M20	Positive solutions of integral equations
47H10	Fixed-point theorems
47N20	Applications of operator theory to differential and integral equations