Search results for "volterra integral equations"

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A nonstandard Volterra integral equation on time scales

2019

Abstract This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales. We use Lipschitz type function and the Banach’s fixed point theorem at functional space endowed with a suitable Bielecki type norm. Furthermore, it allows to get new sufficient conditions for boundedness and continuous dependence of solutions.

bounded solutiontime scalesGeneral Mathematicsvolterra integral equations010102 general mathematics01 natural sciencesVolterra integral equation010101 applied mathematicssymbols.namesakecontinuous dependenceQA1-939symbols45g10Applied mathematics45d050101 mathematicsMathematics34n05MathematicsDemonstratio Mathematica
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A note on the uniqueness and attractive behavior of solutions for nonlinear Volterra equations

2001

In this paper we prove that positive solutions of some nonlinear Volterra integral equations must be locally bounded and global attractors of positive functions. These results complete previous results about the existence and uniqueness of solutions and their attractive behavior.

Numerical AnalysisApplied MathematicsMathematical analysisVolterra equationsNonlinear volterra integral equationsVolterra integral equationNonlinear systemsymbols.namesakeBounded functionAttractorsymbolsUniquenessMatemàticaMathematics
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