Dynamic Local and Nonlocal Initial Value Problems in Banach Spaces

Sanket Tikare; Martin Bohner; Bipan Hazarika; Ravi P. Agarwal

doi:10.1007/s12215-021-00674-y

Dynamic Local and Nonlocal Initial Value Problems in Banach Spaces

Sanket Tikare
, Martin Bohner
, Bipan Hazarika
, Ravi P. Agarwal

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

The objective of this paper is to study the existence of solutions for two classes of dynamic initial value problems in Banach spaces. Our approach is based on the concept of measure of noncompactness and fixed point theorems of Sadovskiĭ and Mönch. We provide some new examples to illustrate our results.

Original language	American English
Journal	Rendiconti del Circolo Matematico di Palermo
DOIs	https://doi.org/10.1007/s12215-021-00674-y
State	Published - Nov 8 2021

Keywords

Dynamic Equations
Fixed Point Theorems
Local And Nonlocal Conditions
Measure Of Noncompactness

Disciplines

Mathematics

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10.1007/s12215-021-00674-yLicense: Unspecified

https://doi.org/10.1007/s12215-021-00674-y

Cite this

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title = "Dynamic Local and Nonlocal Initial Value Problems in Banach Spaces",

abstract = " The objective of this paper is to study the existence of solutions for two classes of dynamic initial value problems in Banach spaces. Our approach is based on the concept of measure of noncompactness and fixed point theorems of Sadovskiĭ and M{\"o}nch. We provide some new examples to illustrate our results.",

keywords = "Dynamic Equations, Fixed Point Theorems, Local And Nonlocal Conditions, Measure Of Noncompactness",

author = "Sanket Tikare and Martin Bohner and Bipan Hazarika and Agarwal, \{Ravi P.\}",

year = "2021",

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doi = "10.1007/s12215-021-00674-y",

language = "American English",

journal = "Rendiconti del Circolo Matematico di Palermo",

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AU - Tikare, Sanket

AU - Bohner, Martin

AU - Hazarika, Bipan

AU - Agarwal, Ravi P.

PY - 2021/11/8

Y1 - 2021/11/8

N2 - The objective of this paper is to study the existence of solutions for two classes of dynamic initial value problems in Banach spaces. Our approach is based on the concept of measure of noncompactness and fixed point theorems of Sadovskiĭ and Mönch. We provide some new examples to illustrate our results.

AB - The objective of this paper is to study the existence of solutions for two classes of dynamic initial value problems in Banach spaces. Our approach is based on the concept of measure of noncompactness and fixed point theorems of Sadovskiĭ and Mönch. We provide some new examples to illustrate our results.

KW - Dynamic Equations

KW - Fixed Point Theorems

KW - Local And Nonlocal Conditions

KW - Measure Of Noncompactness

UR - https://scholarsmine.mst.edu/math_stat_facwork/1091

UR - https://doi.org/10.1007/s12215-021-00674-y

U2 - 10.1007/s12215-021-00674-y

DO - 10.1007/s12215-021-00674-y

M3 - Article

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

ER -

Dynamic Local and Nonlocal Initial Value Problems in Banach Spaces

Abstract

Keywords

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