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on the nonlinear impulsive volterra-fredholmintegro differential equations
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نویسنده
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shikhare pallavi u. ,kucche kishor d. ,sousa jose vanterler da c.
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 1 - صفحه:523 -537
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چکیده
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In this paper, we investigate existence and uniqueness of solutions of nonlinear volterra-fredholm impulsive integrodifferential equations. utilizing theory of picard operators we examine data dependence of solutions on initial conditions and on nonlinear functions involved in integrodifferential equations. further, we extend the integral inequality for piece-wise continuous functions to mixed case and apply it to investigate the dependence of solution on initial data through ϵ-approximate solutions. it is seen that the uniqueness and dependency results got by means of integral inequity requires less restrictions on the functions involved in the equations than that required through picard operators theory.
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کلیدواژه
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volterra-fredholm equation; integral inequality; impulse condition; ϵ-approximate solution; dependence of solutions
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آدرس
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shivaji university, department of mathematics, india, shivaji university, department of mathematics, india, universidade estadual de campinas (unicamp), instituto de matemática, estatística e computação científica da (imecc), department of applied mathematics, brazil
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پست الکترونیکی
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ra160908@ime.unicamp.br
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Authors
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