6533b7d8fe1ef96bd12698fe
RESEARCH PRODUCT
A nonstandard Volterra integral equation on time scales
Andrejs ReinfeldsShraddha Christiansubject
bounded solutiontime scalesGeneral Mathematicsvolterra integral equations010102 general mathematics01 natural sciencesVolterra integral equation010101 applied mathematicssymbols.namesakecontinuous dependenceQA1-939symbols45g10Applied mathematics45d050101 mathematicsMathematics34n05Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-12-01 | Demonstratio Mathematica |