Existence and the number of solutions of nonresonant semilinear equations and applications to boundary value problems

Authors

P. S. Milojeví, New Jersey Institute of Technology

Document Type

Article

Publication Date

11-16-2000

Abstract

In this paper, we study the existence and the finiteness of the number of solutions to nonlinear equations and to nonresonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. Applications are given to semilinear elliptic boundary value problems and to semilinear parabolic and hyperbolic periodic-boundary value problems. (C) 2000 Elsevier Science Ltd.

Identifier

0033753112 (Scopus)

Publication Title

Mathematical and Computer Modelling

External Full Text Location

https://doi.org/10.1016/S0895-7177(00)00212-0

ISSN

08957177

First Page

1395

Last Page

1416

Issue

11-13

Volume

32

Recommended Citation

Milojeví, P. S., "Existence and the number of solutions of nonresonant semilinear equations and applications to boundary value problems" (2000). Faculty Publications. 15528.
https://digitalcommons.njit.edu/fac_pubs/15528