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Existence of integral manifolds for impulsive integro-differential equations

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Abstract

In the paper the problem of existence of integral manifolds for impulsive integro-dierential equations is considered. The investigations are carried out by means ofpiecewise continuous functions which are analogues of Lyapunov’s functions.

참고문헌 (7)

  1. Stamov, G., "Integral Manifolds of Singularly Perturbed Systems of Impulsive Differential Equations Defined on Tori", Ann. Univ. Ferrara - Sez. VII - Sc. Mat., XLI, pp.117~130 (1995)
  2. Stamov, G., "Affinity Integral Manifolds of Linear Singularly Perturbed Systems of Impulsive Differential Equations", SUT Journal of Mathematics, 32(2), pp.121~131 (1996)
  3. Stamov, G., "Integral Manifolds of Perturbed Linear Impulsive Differential Equations", Applicable Analysis, 64, pp.39~56 (1996)
  4. Bainov, D, "Dichotomies and Integral Manifolds of Impulsive Differential Equations" (1994), SCT Publishing, Singapore
  5. Bainov, D., "Abstract Impulsive Differential Equations" (1996), Descartes Press Co., Koriyama
  6. Bainov, D., "Systems with Impulse Effect: Stability, Theory and Applications" (1989), Ellis Horwood,Chichester
  7. Lakshmikantham, V., "Stability Criteria for Impulsive Differential Equations in Terms of Two Measures", J. Math. Anal. Appl., 137, pp.591~604 (1989)

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