Stability And Boundedness In Nonlinear And Neutral Difference Equations using New Variation of Parameters Formula And Fixed Point Theory

Abstract In the case of nonlinear problems, whether in differential or difference equations, it is difficult and in some cases impossible to invert the problem and obtain a suitable mapping that can be effectively used in fixed point theory to qualitatively analyze its solutions. In this paper we co...

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Autor principal:	Raffoul,Youssef N
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
Materias:	New variation of parameters Difference Neutral Sability Bounded-ness Fixed point theorems Contraction mapping equi-boundedness.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000300039
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spelling	oai:scielo:S0719-064620190003000392020-02-20Stability And Boundedness In Nonlinear And Neutral Difference Equations using New Variation of Parameters Formula And Fixed Point TheoryRaffoul,Youssef N New variation of parameters Difference Neutral Sability Bounded-ness Fixed point theorems Contraction mapping equi-boundedness. Abstract In the case of nonlinear problems, whether in differential or difference equations, it is difficult and in some cases impossible to invert the problem and obtain a suitable mapping that can be effectively used in fixed point theory to qualitatively analyze its solutions. In this paper we consider the existence of a positive sequence and utilize it in the capacity of integrating factor to obtain a new variation of parameters formula. Then, we will use the obtained new variation of parameters formula and revert to the contraction principle to arrive at results concerning, boundedness, periodicity and stability. The author is working on parallel results for the continuous case.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.21 n.3 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000300039en10.4067/S0719-06462019000300039
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	New variation of parameters Difference Neutral Sability Bounded-ness Fixed point theorems Contraction mapping equi-boundedness.
spellingShingle	New variation of parameters Difference Neutral Sability Bounded-ness Fixed point theorems Contraction mapping equi-boundedness. Raffoul,Youssef N Stability And Boundedness In Nonlinear And Neutral Difference Equations using New Variation of Parameters Formula And Fixed Point Theory
description	Abstract In the case of nonlinear problems, whether in differential or difference equations, it is difficult and in some cases impossible to invert the problem and obtain a suitable mapping that can be effectively used in fixed point theory to qualitatively analyze its solutions. In this paper we consider the existence of a positive sequence and utilize it in the capacity of integrating factor to obtain a new variation of parameters formula. Then, we will use the obtained new variation of parameters formula and revert to the contraction principle to arrive at results concerning, boundedness, periodicity and stability. The author is working on parallel results for the continuous case.
author	Raffoul,Youssef N
author_facet	Raffoul,Youssef N
author_sort	Raffoul,Youssef N
title	Stability And Boundedness In Nonlinear And Neutral Difference Equations using New Variation of Parameters Formula And Fixed Point Theory
title_short	Stability And Boundedness In Nonlinear And Neutral Difference Equations using New Variation of Parameters Formula And Fixed Point Theory
title_full	Stability And Boundedness In Nonlinear And Neutral Difference Equations using New Variation of Parameters Formula And Fixed Point Theory
title_fullStr	Stability And Boundedness In Nonlinear And Neutral Difference Equations using New Variation of Parameters Formula And Fixed Point Theory
title_full_unstemmed	Stability And Boundedness In Nonlinear And Neutral Difference Equations using New Variation of Parameters Formula And Fixed Point Theory
title_sort	stability and boundedness in nonlinear and neutral difference equations using new variation of parameters formula and fixed point theory
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000300039
work_keys_str_mv	AT raffoulyoussefn stabilityandboundednessinnonlinearandneutraldifferenceequationsusingnewvariationofparametersformulaandfixedpointtheory
_version_	1714206804263567360

Stability And Boundedness In Nonlinear And Neutral Difference Equations using New Variation of Parameters Formula And Fixed Point Theory

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