Existence of global solutions for impulsive functional differential equations with nonlocal conditions.
Sivasankaran, S., Arjunan, M.Mallika, Vijayakumar, V. (2011)
The Journal of Nonlinear Sciences and its Applications
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Sivasankaran, S., Arjunan, M.Mallika, Vijayakumar, V. (2011)
The Journal of Nonlinear Sciences and its Applications
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D. Bainov, Zdzisław Kamont, E. Minchev (1996)
Applicationes Mathematicae
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Theorems on differential inequalities generated by an initial-boundary value problem for impulsive parabolic functional differential equations are considered. Comparison results implying uniqueness criteria are proved.
JinRong Wang, Yong Zhou, Wei Wei (2012)
Kybernetika
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In this paper, we discuss some generalized stability of solutions to a class of nonlinear impulsive evolution equations in the certain piecewise essentially bounded functions space. Firstly, stabilization of solutions to nonlinear impulsive evolution equations are studied by means of fixed point methods at an appropriate decay rate. Secondly, stable manifolds for the associated singular perturbation problems with impulses are compared with each other. Finally, an example on initial boundary...
Raffoul, Youssef N. (2009)
Banach Journal of Mathematical Analysis [electronic only]
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Guedda, L., Hallouz, A. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Jaromír J. Koliha, Ivan Straškraba (1997)
Commentationes Mathematicae Universitatis Carolinae
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The stabilization of solutions to an abstract differential equation is investigated. The initial value problem is considered in the form of an integral equation. The equation is solved by means of the Banach contraction mapping theorem or the Schauder fixed point theorem in the space of functions decreasing to zero at an appropriate rate. Stable manifolds for singular perturbation problems are compared with each other. A possible application is illustrated on an initial-boundary-value...
Guedda, L. (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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