A new comparison principle and its application to nonlinear impulsive functional integro-differential equations
Abstract In this article, we first create a new comparison principle for a nonlinear impulsive boundary problem involving different deviating arguments. Then we employ the new result and iterative method to study the existence of the max-minimal solution of a second-order impulsive functional integr...
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| Format: | Article |
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SpringerOpen
2018-10-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1849-7 |
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doaj-7d447e519ed1465b9a89e3c177a879842020-11-25T01:06:48ZengSpringerOpenAdvances in Difference Equations1687-18472018-10-012018111310.1186/s13662-018-1849-7A new comparison principle and its application to nonlinear impulsive functional integro-differential equationsYingmin Hou0Lihong Zhang1Guotao Wang2College of Science, China University of PetroleumSchool of Mathematics and Computer Science, Shanxi Normal UniversitySchool of Mathematics and Computer Science, Shanxi Normal UniversityAbstract In this article, we first create a new comparison principle for a nonlinear impulsive boundary problem involving different deviating arguments. Then we employ the new result and iterative method to study the existence of the max-minimal solution of a second-order impulsive functional integro-differential equation. The results achieved in this paper are more general and complement many previously known results.http://link.springer.com/article/10.1186/s13662-018-1849-7Comparison principleImpulsive functional integro-differential equationsMonotone iterative techniqueUpper and lower solutions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yingmin Hou Lihong Zhang Guotao Wang |
| spellingShingle |
Yingmin Hou Lihong Zhang Guotao Wang A new comparison principle and its application to nonlinear impulsive functional integro-differential equations Advances in Difference Equations Comparison principle Impulsive functional integro-differential equations Monotone iterative technique Upper and lower solutions |
| author_facet |
Yingmin Hou Lihong Zhang Guotao Wang |
| author_sort |
Yingmin Hou |
| title |
A new comparison principle and its application to nonlinear impulsive functional integro-differential equations |
| title_short |
A new comparison principle and its application to nonlinear impulsive functional integro-differential equations |
| title_full |
A new comparison principle and its application to nonlinear impulsive functional integro-differential equations |
| title_fullStr |
A new comparison principle and its application to nonlinear impulsive functional integro-differential equations |
| title_full_unstemmed |
A new comparison principle and its application to nonlinear impulsive functional integro-differential equations |
| title_sort |
new comparison principle and its application to nonlinear impulsive functional integro-differential equations |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1847 |
| publishDate |
2018-10-01 |
| description |
Abstract In this article, we first create a new comparison principle for a nonlinear impulsive boundary problem involving different deviating arguments. Then we employ the new result and iterative method to study the existence of the max-minimal solution of a second-order impulsive functional integro-differential equation. The results achieved in this paper are more general and complement many previously known results. |
| topic |
Comparison principle Impulsive functional integro-differential equations Monotone iterative technique Upper and lower solutions |
| url |
http://link.springer.com/article/10.1186/s13662-018-1849-7 |
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