RETRACTED ARTICLE: Landesman-Lazer type condition for second-order differential equations at resonance with impulsive effects
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1687-1847-2014-235.pdf
Reference14 articles.
1. Lazer AC: On Schauder’s fixed point theorem and forced second order nonlinear oscillations. J. Math. Anal. Appl. 1968, 21: 421-425. 10.1016/0022-247X(68)90225-4
2. Lazer AC, Leach DE: Bounded perturbations of forced harmonic oscillators at resonance. Ann. Mat. Pura Appl. 1969, 82(4):49-68.
3. Landesman EM, Lazer AC: Nonlinear perturbations of linear elliptic boundary value problems at resonance. J. Math. Mech. 1970, 19: 60-623.
4. Lakshmikantham V, Bainov DD, Simeonov PS: Theory of Impulsive Differential Equations. World Scientific, Singapore; 1989.
5. Bogun I: Existence of weak solutions for impulsive p -Laplacian problem with superlinear impulses. Nonlinear Anal., Real World Appl. 2012, 13(6):2701-2707. 10.1016/j.nonrwa.2012.03.014
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2. On the second order periodic problem at resonance with impulses;Journal of Mathematical Analysis and Applications;2015-08
3. Retraction Note: Landesman-Lazer type condition for second-order differential equations at resonance with impulsive effects;Advances in Difference Equations;2015-07-04
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