Existence of Bounded Solutions for Second Order Dynamic Equations

Elvan Akin; Martin Bohner; Lynn Erbe; Allan Peterson

doi:10.1080/1026190290017414

Existence of Bounded Solutions for Second Order Dynamic Equations

Elvan Akin
, Martin Bohner
, Lynn Erbe
, Allan Peterson

Mathematics and Statistics

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

Abstract

In this paper, we will give sufficient conditions for a nonhomogeneous dynamic self-adjoint equation on a time scale to have a zero tending solution. We also give sufficient conditions that guarantees that for each constant C there is a unique bounded solution on [ a , X ) with y ( a )= C .

Original language	American English
Pages (from-to)	389-401
Number of pages	13
Journal	Journal of Difference Equations and Applications
Volume	8
Issue number	4
DOIs	https://doi.org/10.1080/1026190290017414
State	Published - Jan 1 2002

Keywords

measure chains
time scales
self-adjoint
dynamic equations

Disciplines

Mathematics
Statistics and Probability

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10.1080/1026190290017414License: CC BY

https://doi.org/10.1080/1026190290017414

Cite this

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title = "Existence of Bounded Solutions for Second Order Dynamic Equations",

abstract = " In this paper, we will give sufficient conditions for a nonhomogeneous dynamic self-adjoint equation on a time scale to have a zero tending solution. We also give sufficient conditions that guarantees that for each constant C there is a unique bounded solution on [ a , X ) with y ( a )= C .",

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author = "Elvan Akin and Martin Bohner and Lynn Erbe and Allan Peterson",

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AU - Bohner, Martin

AU - Erbe, Lynn

AU - Peterson, Allan

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N2 - In this paper, we will give sufficient conditions for a nonhomogeneous dynamic self-adjoint equation on a time scale to have a zero tending solution. We also give sufficient conditions that guarantees that for each constant C there is a unique bounded solution on [ a , X ) with y ( a )= C .

AB - In this paper, we will give sufficient conditions for a nonhomogeneous dynamic self-adjoint equation on a time scale to have a zero tending solution. We also give sufficient conditions that guarantees that for each constant C there is a unique bounded solution on [ a , X ) with y ( a )= C .

KW - measure chains

KW - time scales

KW - self-adjoint

KW - dynamic equations

UR - https://scholarsmine.mst.edu/math_stat_facwork/65

UR - https://doi.org/10.1080/1026190290017414

U2 - 10.1080/1026190290017414

DO - 10.1080/1026190290017414

M3 - Article

SN - 1563-5120

VL - 8

SP - 389

EP - 401

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

IS - 4

ER -

Existence of Bounded Solutions for Second Order Dynamic Equations

Abstract

Keywords

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