k-dimensional nonlocal boundary-value problems at resonance
In this article we show the existence of at least one solution to the system of nonlocal resonant boundary-value problem $$ x''=f(t,x), \quad x'(0)=0, \quad x'(1)=\int_{0 }^{1}x'(s)\,dg(s), $$ where $f:[0,1]\times\mathbb{R}^k\to\mathbb{R}^k$, $g:[0,1]\to\mathbb{R}^k$.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/148/abstr.html |
| _version_ | 1818872699792916480 |
|---|---|
| author | Katarzyna Szymanska-Debowska |
| author_facet | Katarzyna Szymanska-Debowska |
| author_sort | Katarzyna Szymanska-Debowska |
| collection | DOAJ |
| description | In this article we show the existence of at least one solution to
the system of nonlocal resonant boundary-value problem
$$
x''=f(t,x), \quad x'(0)=0, \quad x'(1)=\int_{0 }^{1}x'(s)\,dg(s),
$$
where $f:[0,1]\times\mathbb{R}^k\to\mathbb{R}^k$, $g:[0,1]\to\mathbb{R}^k$. |
| first_indexed | 2024-12-19T12:42:58Z |
| format | Article |
| id | doaj.art-61f444f44fa94f6f96aa17ad1f4172a2 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-19T12:42:58Z |
| publishDate | 2015-06-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-61f444f44fa94f6f96aa17ad1f4172a22022-12-21T20:20:54ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-06-012015148,18k-dimensional nonlocal boundary-value problems at resonanceKatarzyna Szymanska-Debowska0 Lodz Univ. of Technology, Wolczanska, Poland In this article we show the existence of at least one solution to the system of nonlocal resonant boundary-value problem $$ x''=f(t,x), \quad x'(0)=0, \quad x'(1)=\int_{0 }^{1}x'(s)\,dg(s), $$ where $f:[0,1]\times\mathbb{R}^k\to\mathbb{R}^k$, $g:[0,1]\to\mathbb{R}^k$.http://ejde.math.txstate.edu/Volumes/2015/148/abstr.htmlNonlocal boundary value problemperturbation methodboundary value problem at resonanceNeumann BVP |
| spellingShingle | Katarzyna Szymanska-Debowska k-dimensional nonlocal boundary-value problems at resonance Electronic Journal of Differential Equations Nonlocal boundary value problem perturbation method boundary value problem at resonance Neumann BVP |
| title | k-dimensional nonlocal boundary-value problems at resonance |
| title_full | k-dimensional nonlocal boundary-value problems at resonance |
| title_fullStr | k-dimensional nonlocal boundary-value problems at resonance |
| title_full_unstemmed | k-dimensional nonlocal boundary-value problems at resonance |
| title_short | k-dimensional nonlocal boundary-value problems at resonance |
| title_sort | k dimensional nonlocal boundary value problems at resonance |
| topic | Nonlocal boundary value problem perturbation method boundary value problem at resonance Neumann BVP |
| url | http://ejde.math.txstate.edu/Volumes/2015/148/abstr.html |
| work_keys_str_mv | AT katarzynaszymanskadebowska kdimensionalnonlocalboundaryvalueproblemsatresonance |