Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems

Elvan Akin; Ozkan Ozturk

doi:10.1007/s00009-016-0836-z

Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems

Elvan Akin
, Ozkan Ozturk

Mathematics and Statistics

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

Abstract

We consider a two-dimensional time scale system of first order dynamic equations and establish some necessary and sufficient conditions for the existence of nonoscillatory solutions for the system using Knaster fixed point theorem, the Schauder fixed point theorem and the Schauder-Tychonoff fixed point theorem. We also provide examples to underline the main results of this article.

Original language	American English
Journal	Mediterranean Journal of Mathematics
Volume	14
DOIs	https://doi.org/10.1007/s00009-016-0836-z
State	Published - Feb 1 2017

Keywords

Asymptotic behaviors
Dynamical systems
Nonoscillation
Time scale

Disciplines

Mathematics
Statistics and Probability

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https://doi.org/10.1007/s00009-016-0836-z

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title = "Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems",

abstract = " We consider a two-dimensional time scale system of first order dynamic equations and establish some necessary and sufficient conditions for the existence of nonoscillatory solutions for the system using Knaster fixed point theorem, the Schauder fixed point theorem and the Schauder-Tychonoff fixed point theorem. We also provide examples to underline the main results of this article.",

keywords = "Asymptotic behaviors, Dynamical systems, Nonoscillation, Time scale",

author = "Elvan Akin and Ozkan Ozturk",

year = "2017",

month = feb,

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doi = "10.1007/s00009-016-0836-z",

language = "American English",

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T1 - Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems

AU - Akin, Elvan

AU - Ozturk, Ozkan

PY - 2017/2/1

Y1 - 2017/2/1

N2 - We consider a two-dimensional time scale system of first order dynamic equations and establish some necessary and sufficient conditions for the existence of nonoscillatory solutions for the system using Knaster fixed point theorem, the Schauder fixed point theorem and the Schauder-Tychonoff fixed point theorem. We also provide examples to underline the main results of this article.

AB - We consider a two-dimensional time scale system of first order dynamic equations and establish some necessary and sufficient conditions for the existence of nonoscillatory solutions for the system using Knaster fixed point theorem, the Schauder fixed point theorem and the Schauder-Tychonoff fixed point theorem. We also provide examples to underline the main results of this article.

KW - Asymptotic behaviors

KW - Dynamical systems

KW - Nonoscillation

KW - Time scale

UR - https://scholarsmine.mst.edu/math_stat_facwork/866

UR - https://doi.org/10.1007/s00009-016-0836-z

U2 - 10.1007/s00009-016-0836-z

DO - 10.1007/s00009-016-0836-z

M3 - Article

SN - 1660-5454

VL - 14

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

ER -

Limiting Behaviors of Nonoscillatory Solutions for Two-Dimensional Nonlinear Time Scale Systems

Abstract

Keywords

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