Existence of three solutions for impulsive multi-point boundary value problems
This paper is devoted to the study of the existence of at least three classical solutions for a second-order multi-point boundary value problem with impulsive effects. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results. Also by presen...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2017-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol37/3/art/opuscula_math_3715.pdf |
| _version_ | 1818364505711706112 |
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| author | Martin Bohner Shapour Heidarkhani Amjad Salari Giuseppe Caristi |
| author_facet | Martin Bohner Shapour Heidarkhani Amjad Salari Giuseppe Caristi |
| author_sort | Martin Bohner |
| collection | DOAJ |
| description | This paper is devoted to the study of the existence of at least three classical solutions for a second-order multi-point boundary value problem with impulsive effects. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results. Also by presenting an example, we ensure the applicability of our results. |
| first_indexed | 2024-12-13T22:05:26Z |
| format | Article |
| id | doaj.art-65d1e655a31c4e29819d5a1fd0a693ff |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-13T22:05:26Z |
| publishDate | 2017-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-65d1e655a31c4e29819d5a1fd0a693ff2022-12-21T23:29:51ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742017-01-01373353379http://dx.doi.org/10.7494/OpMath.2017.37.3.3533715Existence of three solutions for impulsive multi-point boundary value problemsMartin Bohner0Shapour Heidarkhani1Amjad Salari2Giuseppe Caristi3Department of Mathematics and Statistics, Missouri S&T, Rolla, MO 65409-0020, USARazi University, Faculty of Sciences, Department of Mathematics, 67149 Kermanshah, IranRazi University, Faculty of Sciences, Department of Mathematics, 67149 Kermanshah, IranUniversity of Messina, Department of Economics, Messina, ItalyThis paper is devoted to the study of the existence of at least three classical solutions for a second-order multi-point boundary value problem with impulsive effects. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results. Also by presenting an example, we ensure the applicability of our results.http://www.opuscula.agh.edu.pl/vol37/3/art/opuscula_math_3715.pdfmulti-point boundary value problemimpulsive conditionclassical solutionvariational methodthree critical points theorem |
| spellingShingle | Martin Bohner Shapour Heidarkhani Amjad Salari Giuseppe Caristi Existence of three solutions for impulsive multi-point boundary value problems Opuscula Mathematica multi-point boundary value problem impulsive condition classical solution variational method three critical points theorem |
| title | Existence of three solutions for impulsive multi-point boundary value problems |
| title_full | Existence of three solutions for impulsive multi-point boundary value problems |
| title_fullStr | Existence of three solutions for impulsive multi-point boundary value problems |
| title_full_unstemmed | Existence of three solutions for impulsive multi-point boundary value problems |
| title_short | Existence of three solutions for impulsive multi-point boundary value problems |
| title_sort | existence of three solutions for impulsive multi point boundary value problems |
| topic | multi-point boundary value problem impulsive condition classical solution variational method three critical points theorem |
| url | http://www.opuscula.agh.edu.pl/vol37/3/art/opuscula_math_3715.pdf |
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