Title of article
Multiple solutions for fourth-order boundary value problem
Author/Authors
Pang Changci a، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
13
From page
464
To page
476
Abstract
In this paper, we study the existence and multiplicity of nontrivial solutions for the fourth-order
two point boundary value problems. Making use of the theory of fixed point index in cone and Leray–
Schauder degree, under general conditions on nonlinearity, we prove that there exist at least six
different nontrivial solutions for the fourth-order two point boundary value problems. Furthermore,
if the nonlinearity is odd, we obtain that there exist at least eight different nontrivial solutions.
2005 Elsevier Inc. All rights reserved
Keywords
Leray–Schauder degree , multiple solutions , Sign-changing solutions , Fixed point index , Fourth-order two point boundary value problem
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934305
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