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

P. S. Milojeví

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

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

P. S. Milojeví

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1395-1416
Number of pages	22
Journal	Mathematical and Computer Modelling
Volume	32
Issue number	11-13
DOIs	https://doi.org/10.1016/S0895-7177(00)00212-0
State	Published - 2000

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Computer Science Applications

Keywords

Bifurcation invariant
Critical points
Spectral flow

Access to Document

10.1016/S0895-7177(00)00212-0

Cite this

@article{2ee6906eff5b4473b8aa3ea42f48acdd,

title = "Existence and the number of solutions of nonresonant semilinear equations and applications to boundary value problems",

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.",

keywords = "Bifurcation invariant, Critical points, Spectral flow",

author = "Milojev{\'i}, {P. S.}",

year = "2000",

doi = "10.1016/S0895-7177(00)00212-0",

language = "English (US)",

volume = "32",

pages = "1395--1416",

journal = "Mathematical and Computer Modelling",

issn = "0895-7177",

publisher = "Elsevier Ltd",

number = "11-13",

}

TY - JOUR

T1 - Existence and the number of solutions of nonresonant semilinear equations and applications to boundary value problems

AU - Milojeví, P. S.

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

KW - Bifurcation invariant

KW - Critical points

KW - Spectral flow

UR - http://www.scopus.com/inward/record.url?scp=0033753112&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033753112&partnerID=8YFLogxK

U2 - 10.1016/S0895-7177(00)00212-0

DO - 10.1016/S0895-7177(00)00212-0

M3 - Article

AN - SCOPUS:0033753112

SN - 0895-7177

VL - 32

SP - 1395

EP - 1416

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 11-13

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this