An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations

Branga, Adrian; Olaru, Ion Marian

doi:10.3390/math8071183

Mathematics

2020

DOI: 10.3390/math8071183

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An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations

Adrian Branga

Ion Marian Olaru

Abstract: In this paper, we establish some conditions for the existence and uniqueness of the monotonic solutions for nonhomogeneous systems of first-order linear differential equations, by using a result of the fixed points theory for sequentially complete gauge spaces.

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2022

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Some conditions for the existence and uniqueness of monotonic and positive solutions for nonlinear systems of ordinary differential equations

Branga

2022

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<abstract><p>In this paper, applying the theory of fixed points in complete gauge spaces, we establish some conditions for the existence and uniqueness of monotonic and positive solutions for nonlinear systems of ordinary differential equations. Moreover, the paper contains an application of the theoretical results to the study of a class of systems of nonlinear ordinary differential equations.</p></abstract>

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Some conditions for the existence and uniqueness of monotonic and positive solutions for nonlinear systems of ordinary differential equations

Branga

2022

era

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An Application of the Fixed Point Theory to the Study of Monotonic Solutions for Systems of Differential Equations

Abstract: In this paper, we establish some conditions for the existence and uniqueness of the monotonic solutions for nonhomogeneous systems of first-order linear differential equations, by using a result of the fixed points theory for sequentially complete gauge spaces.

Cited by 1 publication

References 14 publications

Some conditions for the existence and uniqueness of monotonic and positive solutions for nonlinear systems of ordinary differential equations

Some conditions for the existence and uniqueness of monotonic and positive solutions for nonlinear systems of ordinary differential equations

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