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Multiple Solutions for a Class of Nonlinear Fourth-Order Boundary Value Problems
- Source :
- Symmetry, Vol 12, Iss 1989, p 1989 (2020), Symmetry, Volume 12, Issue 12
- Publication Year :
- 2020
- Publisher :
- MDPI AG, 2020.
-
Abstract
- This paper is concerned with multiple solutions for a class of nonlinear fourth-order boundary value problems with parameters. By constructing a special cone and applying fixed point index theory, the multiple solutions for the considered systems are obtained under some suitable assumptions. The main feature of obtained solutions (u(t),v(t)) is that the solution u(t) is positive, and the other solution v(t) may change sign. Finally, two examples with continuous function f1 being positive and f2 being semipositone are worked out to illustrate the main results.
- Subjects :
- Class (set theory)
multiple solutions
Physics and Astronomy (miscellaneous)
Continuous function
boundary value problems
General Mathematics
fixed point theory
lcsh:Mathematics
010102 general mathematics
Fixed-point index
Fixed-point theorem
lcsh:QA1-939
01 natural sciences
010101 applied mathematics
Nonlinear system
TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES
Cone (topology)
Chemistry (miscellaneous)
Computer Science (miscellaneous)
Applied mathematics
Boundary value problem
0101 mathematics
Mathematics
Sign (mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 20738994
- Volume :
- 12
- Issue :
- 1989
- Database :
- OpenAIRE
- Journal :
- Symmetry
- Accession number :
- edsair.doi.dedup.....169dc83f8812374266c9d12cee5eadfd