On the solvability of anti-periodic boundary value problems with impulses
In this paper, we are concerned with the existence of solutions for second order impulsive anti-periodic boundary value problem ${ \left \{\begin{array} {l} u''(t) + f(t,u(t),u'(t))=0, \quad t \not= t_k, \ t \in [0, T], \\ \triangle u(t_k) = I_k(u(t_k)), \quad k = 1, \cdots , m,...
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University of Szeged
2009-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=364 |
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doaj-965d68a624954edf84aa849671f194602021-07-14T07:21:20ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752009-03-0120091111510.14232/ejqtde.2009.1.11364On the solvability of anti-periodic boundary value problems with impulsesChuanzhi Bai0Huaiyin Normal University, Huaian, Jiangsu, P. R. ChinaIn this paper, we are concerned with the existence of solutions for second order impulsive anti-periodic boundary value problem ${ \left \{\begin{array} {l} u''(t) + f(t,u(t),u'(t))=0, \quad t \not= t_k, \ t \in [0, T], \\ \triangle u(t_k) = I_k(u(t_k)), \quad k = 1, \cdots , m, \\ \triangle u'(t_k) = I_k^*(u(t_k)), \quad k = 1, \cdots , m, \\ u(0) + u(T) = 0, \ u'(0) + u'(T) = 0. \end{array}\right.} $ New criteria are established based on Schaefer's fixed-point theorem.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=364 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Chuanzhi Bai |
| spellingShingle |
Chuanzhi Bai On the solvability of anti-periodic boundary value problems with impulses Electronic Journal of Qualitative Theory of Differential Equations |
| author_facet |
Chuanzhi Bai |
| author_sort |
Chuanzhi Bai |
| title |
On the solvability of anti-periodic boundary value problems with impulses |
| title_short |
On the solvability of anti-periodic boundary value problems with impulses |
| title_full |
On the solvability of anti-periodic boundary value problems with impulses |
| title_fullStr |
On the solvability of anti-periodic boundary value problems with impulses |
| title_full_unstemmed |
On the solvability of anti-periodic boundary value problems with impulses |
| title_sort |
on the solvability of anti-periodic boundary value problems with impulses |
| publisher |
University of Szeged |
| series |
Electronic Journal of Qualitative Theory of Differential Equations |
| issn |
1417-3875 1417-3875 |
| publishDate |
2009-03-01 |
| description |
In this paper, we are concerned with the existence of solutions for second order impulsive anti-periodic boundary value problem
${ \left \{\begin{array} {l}
u''(t) + f(t,u(t),u'(t))=0, \quad t \not= t_k, \ t \in [0, T], \\
\triangle u(t_k) = I_k(u(t_k)), \quad k = 1, \cdots , m, \\
\triangle u'(t_k) = I_k^*(u(t_k)), \quad k = 1, \cdots , m, \\
u(0) + u(T) = 0, \ u'(0) + u'(T) = 0.
\end{array}\right.} $
New criteria are established based on Schaefer's fixed-point theorem. |
| url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=364 |
| work_keys_str_mv |
AT chuanzhibai onthesolvabilityofantiperiodicboundaryvalueproblemswithimpulses |
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1721303848556953600 |