Boundedness in Functional Dynamic Equations on Time Scales

Elvan Akin; Youssef N. Raffoul

doi:10.1155/ADE/2006/79689

Boundedness in Functional Dynamic Equations on Time Scales

Elvan Akin
, Youssef N. Raffoul

Mathematics and Statistics

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

Abstract

Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales. We apply our obtained results to linear and nonlinear Volterra integro-dynamic equations on time scales by displaying suitable Lyapunov functionals.

Original language	American English
Journal	Advances in Difference Equations
DOIs	https://doi.org/10.1155/ADE/2006/79689
State	Published - Jan 1 2006

Keywords

Boundedness
Functional Dynamic Equations
Lyapunov Functionals
Time Scales

Disciplines

Mathematics
Statistics and Probability

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title = "Boundedness in Functional Dynamic Equations on Time Scales",

abstract = " Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales. We apply our obtained results to linear and nonlinear Volterra integro-dynamic equations on time scales by displaying suitable Lyapunov functionals.",

keywords = "Boundedness, Functional Dynamic Equations, Lyapunov Functionals, Time Scales",

author = "Elvan Akin and Raffoul, \{Youssef N.\}",

year = "2006",

month = jan,

day = "1",

doi = "10.1155/ADE/2006/79689",

language = "American English",

journal = "Advances in Difference Equations",

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T1 - Boundedness in Functional Dynamic Equations on Time Scales

AU - Akin, Elvan

AU - Raffoul, Youssef N.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales. We apply our obtained results to linear and nonlinear Volterra integro-dynamic equations on time scales by displaying suitable Lyapunov functionals.

AB - Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales. We apply our obtained results to linear and nonlinear Volterra integro-dynamic equations on time scales by displaying suitable Lyapunov functionals.

KW - Boundedness

KW - Functional Dynamic Equations

KW - Lyapunov Functionals

KW - Time Scales

UR - https://scholarsmine.mst.edu/math_stat_facwork/662

U2 - 10.1155/ADE/2006/79689

DO - 10.1155/ADE/2006/79689

M3 - Article

SN - 1687-1847

JO - Advances in Difference Equations

JF - Advances in Difference Equations

ER -

Boundedness in Functional Dynamic Equations on Time Scales

Abstract

Keywords

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