Multiple solutions for mixed boundary value problems with phi-Laplacian operators
Using Leray-Schauder degree theory and the method of upper and lower solutions we establish existence and multiplicity of solutions for problems of the form $$\displaylines{ (\phi(u'))' = f(t,u,u') \cr u(0)= u(T)=u'(0), }$$ where $\phi$ is an increasing homeomorphism su...
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2020-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2020/67/abstr.html |
| _version_ | 1819100205595754496 |
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| author | Dionicio Pastor Dallos Santos |
| author_facet | Dionicio Pastor Dallos Santos |
| author_sort | Dionicio Pastor Dallos Santos |
| collection | DOAJ |
| description | Using Leray-Schauder degree theory and the method of upper and lower solutions
we establish existence and multiplicity of solutions for problems of the form
$$\displaylines{
(\phi(u'))' = f(t,u,u') \cr
u(0)= u(T)=u'(0),
}$$
where $\phi$ is an increasing homeomorphism
such that $\phi(0)=0$, and f is a continuous function. |
| first_indexed | 2024-12-22T00:59:05Z |
| format | Article |
| id | doaj.art-f05391566aa44add9e51417ba13be3b2 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-22T00:59:05Z |
| publishDate | 2020-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-f05391566aa44add9e51417ba13be3b22022-12-21T18:44:14ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912020-06-01202067,18Multiple solutions for mixed boundary value problems with phi-Laplacian operatorsDionicio Pastor Dallos Santos0 Univ. de Buenos Aires, Argentina Using Leray-Schauder degree theory and the method of upper and lower solutions we establish existence and multiplicity of solutions for problems of the form $$\displaylines{ (\phi(u'))' = f(t,u,u') \cr u(0)= u(T)=u'(0), }$$ where $\phi$ is an increasing homeomorphism such that $\phi(0)=0$, and f is a continuous function.http://ejde.math.txstate.edu/Volumes/2020/67/abstr.htmlnonlinear schrodinger equationinviscid limitlinear dampingforcing term |
| spellingShingle | Dionicio Pastor Dallos Santos Multiple solutions for mixed boundary value problems with phi-Laplacian operators Electronic Journal of Differential Equations nonlinear schrodinger equation inviscid limit linear damping forcing term |
| title | Multiple solutions for mixed boundary value problems with phi-Laplacian operators |
| title_full | Multiple solutions for mixed boundary value problems with phi-Laplacian operators |
| title_fullStr | Multiple solutions for mixed boundary value problems with phi-Laplacian operators |
| title_full_unstemmed | Multiple solutions for mixed boundary value problems with phi-Laplacian operators |
| title_short | Multiple solutions for mixed boundary value problems with phi-Laplacian operators |
| title_sort | multiple solutions for mixed boundary value problems with phi laplacian operators |
| topic | nonlinear schrodinger equation inviscid limit linear damping forcing term |
| url | http://ejde.math.txstate.edu/Volumes/2020/67/abstr.html |
| work_keys_str_mv | AT dioniciopastordallossantos multiplesolutionsformixedboundaryvalueproblemswithphilaplacianoperators |