0000000000310104

AUTHOR

Shraddha Christian

showing 2 related works from this author

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
researchProduct

Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales

2020

We study Hyers-Ulam stability of a nonlinear Volterra integral equation on unbounded time scales. Sufficient conditions are obtained based on the Banach fixed point theorem and Bielecki type norm.

Mathematics::Functional AnalysisNonlinear systemsymbols.namesakeBanach fixed-point theoremNorm (mathematics)symbolsApplied mathematicsVolterra integral equationMathematics
researchProduct