First-Order Nonlinear Dynamic Initial Value Problems

Martin Bohner; Sanket Tikare; Iguer Luis Domini dos Santos

doi:10.1504/IJDSDE.2021.117358

First-Order Nonlinear Dynamic Initial Value Problems

Martin Bohner
, Sanket Tikare
, Iguer Luis Domini dos Santos

Mathematics and Statistics

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

Abstract

We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions.

Original language	American English
Journal	International Journal of Dynamical Systems and Differential Equations
Volume	11
DOIs	https://doi.org/10.1504/IJDSDE.2021.117358
State	Published - Sep 1 2021

Keywords

Continuous Dependence
Dynamic Equation
Dynamic Inequalities
Existence
First-Order Nonlinear
Fixed Point Theorems
Time Scales

Disciplines

Mathematics
Statistics and Probability

Access to Document

10.1504/IJDSDE.2021.117358License: Unspecified

https://doi.org/10.1504/IJDSDE.2021.117358

Cite this

@article{367ca6be37554a3d8a5b86fb63c03045,

title = "First-Order Nonlinear Dynamic Initial Value Problems",

abstract = " We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions.",

keywords = "Continuous Dependence, Dynamic Equation, Dynamic Inequalities, Existence, First-Order Nonlinear, Fixed Point Theorems, Time Scales",

author = "Martin Bohner and Sanket Tikare and \{dos Santos\}, \{Iguer Luis Domini\}",

year = "2021",

month = sep,

day = "1",

doi = "10.1504/IJDSDE.2021.117358",

language = "American English",

volume = "11",

journal = "International Journal of Dynamical Systems and Differential Equations",

issn = "1752-3591",

}

TY - JOUR

T1 - First-Order Nonlinear Dynamic Initial Value Problems

AU - Bohner, Martin

AU - Tikare, Sanket

AU - dos Santos, Iguer Luis Domini

PY - 2021/9/1

Y1 - 2021/9/1

N2 - We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions.

AB - We prove three existence theorems for solutions of first-order dynamic initial value problems, including corresponding continuous and discrete cases. The main tools are fixed point theorems and dynamic inequalities. Two more results are given that discuss dependence of solutions on the initial conditions as well as convergence of sequences of solutions.

KW - Continuous Dependence

KW - Dynamic Equation

KW - Dynamic Inequalities

KW - Existence

KW - First-Order Nonlinear

KW - Fixed Point Theorems

KW - Time Scales

UR - https://scholarsmine.mst.edu/math_stat_facwork/1083

UR - https://doi.org/10.1504/IJDSDE.2021.117358

U2 - 10.1504/IJDSDE.2021.117358

DO - 10.1504/IJDSDE.2021.117358

M3 - Article

SN - 1752-3591

VL - 11

JO - International Journal of Dynamical Systems and Differential Equations

JF - International Journal of Dynamical Systems and Differential Equations

ER -

First-Order Nonlinear Dynamic Initial Value Problems

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Fingerprint

Cite this