2012
DOI: 10.22436/jnsa.005.03.04
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Existence results for impulsive differential equations with nonlocal conditions via measures of noncompactness

Abstract: In this paper, we study the existence of integral solutions for impulsive evolution equations with nonlocal conditions where the linear part is nondensely defined. Some existence results of integral solutions to such problems are obtained under the conditions in respect of the Hausdorff's measure of noncompactness. Example is provided to illustrate the main result.

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Cited by 12 publications
(8 citation statements)
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References 16 publications
(25 reference statements)
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“…[2] In the twentieth century, the theory of Nonlinear functional integral equations has become an active area of research due to their applications in the fields such as engineering, mechanics, physics, chemistry, biology, economics and so on. For more details, one can see [3,4,5,6,7,8,9], and references therein.…”
Section: Introductionmentioning
confidence: 99%
“…[2] In the twentieth century, the theory of Nonlinear functional integral equations has become an active area of research due to their applications in the fields such as engineering, mechanics, physics, chemistry, biology, economics and so on. For more details, one can see [3,4,5,6,7,8,9], and references therein.…”
Section: Introductionmentioning
confidence: 99%
“…For more details on non-autonomous differential equations, we refer to monograph [21,22], and papers [1][2][3][4][5][6][7][8]11,12,26,27,[29][30][31][32][33][34][35] and references cited therein.…”
Section: Introductionmentioning
confidence: 99%
“…The theory of Impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biological systems, robotics, optimal control and so forth. In [6,7,9] these types of impulsive effects and differential systems were studied. The nonlocal condition, which is a generalization of the classical initial condition, was motivated by physical problems.…”
Section: Introductionmentioning
confidence: 99%