On the existence of monotone positive solutions of second order differential equations

Aslanov, Afgan

doi:10.1007/s00605-016-1015-9

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Cited by 2 publications

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“…The weak point of the papers of Demidovich and Iseki consists of the fact that they demonstrate the boundedness of monotonous solutions, without specifying whether such solutions exist. Regarding the existence of monotonic solutions of differential equations, important results were obtained by Rovderová [3], Tóthová and Palumbíny [4], Rovder [5], Li and Fan [6], Yin [7], Ertem and Zafer [8], Aslanov [9], Chu [10], and Sanhan et al [11].…”

Section: Introductionmentioning

confidence: 99%

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

Branga

Olaru

2020

Mathematics

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Section: Introductionmentioning

confidence: 99%

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

Branga

Olaru

2020

Mathematics

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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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<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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On the existence of monotone positive solutions of second order differential equations

Cited by 2 publications

References 14 publications

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

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