Triple solutions for a damped impulsive differential equation
Abstract In this paper, we aim to obtain the existence of at least three classical solutions for nonlinear impulsive problems neither adding superlinear or local sublinear conditions to nonlinear term at zero nor adding superlinear assumptions to nonlinear term at infinity. Our approach relies on va...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-08-01
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Series: | Advances in Difference Equations |
Subjects: | |
Online Access: | http://link.springer.com/article/10.1186/s13662-019-2269-z |
Summary: | Abstract In this paper, we aim to obtain the existence of at least three classical solutions for nonlinear impulsive problems neither adding superlinear or local sublinear conditions to nonlinear term at zero nor adding superlinear assumptions to nonlinear term at infinity. Our approach relies on variational methods, more specifically, on a three critical points theorem. |
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ISSN: | 1687-1847 |