Multiple positive solutions for nonlinear first-order impulsive dynamic equations on time scales with parameter.
Wang, Da-Bin, Guan, Wen (2009)
Advances in Difference Equations [electronic only]
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Displaying similar documents to “Dynamic systems with the nonzero initial conditions excited by the Dirac function”
Multiple positive solutions for nonlinear first-order impulsive dynamic equations on time scales with parameter.
Oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales
Mouffak Benchohra, Samira Hamani, Johnny Henderson (2007)
Archivum Mathematicum
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In this paper we discuss the existence of oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales. We shall rely of the nonlinear alternative of Leray-Schauder type combined with lower and upper solutions method.
Some features of uncontinuable solutions of impulsive dynamical systems.
H. D. Dimov, S. I. Nenov (1996)
Extracta Mathematicae
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Oscillation and nonoscillation for impulsive dynamic equations on certain time scales.
Benchohra, Mouffak, Hamani, Samira, Henderson, Johnny (2006)
Advances in Difference Equations [electronic only]
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First- and second-order dynamic equations with impulse.
Atici, F.M., Biles, D.C. (2005)
Advances in Difference Equations [electronic only]
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On Semicontinuity in Impulsive Dynamical Systems
Krzysztof Ciesielski (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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In the important paper on impulsive systems [K1] several notions are introduced and several properties of these systems are shown. In particular, the function ϕ which describes "the time of reaching impulse points" is considered; this function has many important applications. In [K1] the continuity of this function is investigated. However, contrary to the theorem stated there, the function ϕ need not be continuous under the assumptions given in the theorem. Suitable examples are shown...
On initial value problems for a class of first order impulsive differential inclusions
Mouffak Benchohra, Abdelkader Boucherif, Juan J. Nieto (2001)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We investigate the existence of solutions to first order initial value problems for differential inclusions subject to impulsive effects. We shall rely on a fixed point theorem for condensing maps to prove our results.