Positive Periodic Solutions of Second-Order Differential Equations with Delays
TLDR
In this paper, the existence results of positive ω-periodic solutions are obtained for the second-order differential equation with delays, where is a ωperiodic function, is a continuous function, which is ω -periodic in, and are positive constants.Abstract:
The existence results of positive ω-periodic solutions are obtained for the second-order differential equation with delays , where is a ω-periodic function, is a continuous function, which is ω-periodic in , and are positive constants. Our discussion is based on the fixed point index theory in cones.read more
Citations
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Monotone iterative technique for second order delayed periodic problem in Banach spaces
Qiang Li,Yongxiang Li +1 more
TL;DR: This paper builds a new maximum principle for the ω-periodic solutions of the corresponding linear equation with delay and studies the existence of the minimal and maximal periodic solutions for abstract delayed equation by combining perturbation method and monotone iterative technique of the lower and upper solutions.
Journal ArticleDOI
On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays
Qiang Li,Yongxiang Li +1 more
TL;DR: In this article, the existence results of positive ω-periodic solutions are obtained for the second-order functional differential equation with multiple delays, where is a positive ε -periodic function, is a continuous function which is ωperiodic in t, and are ω periodic functions, and existence conditions concern the first eigenvalue of the associated linear periodic boundary problem.
Journal ArticleDOI
Compactness Conditions in the Theory of Nonlinear Differential and Integral Equations
TL;DR: In this paper, Banaś, Mohammad Mursaleen, Beata Rzepka, and Kishin Sadarangani discuss Compactness Conditions in the Theory of Nonlinear Differential and Integral Equations.
Journal ArticleDOI
Positive Periodic Solutions of Third-Order Ordinary Differential Equations with Delays
Yongxiang Li,Qiang Li +1 more
TL;DR: In this article, the existence results of positive -periodic solutions are obtained for the third-order ordinary differential equation with delays where is - periodic function and is a continuous function which is - Periodic in are positive constants.
Journal ArticleDOI
Positive periodic solutions for high-order differential equations with multiple delays in Banach spaces
Yue Liang,Hong Li +1 more
TL;DR: In this article, the existence of positive ω-periodic solutions for nth-order ODEs with delays in Banach space was studied and the strong positivity estimation was established.
References
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Book
Nonlinear Functional Analysis
TL;DR: A survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis can be found in this article, with extensive commentary, many examples, and interesting, challenging exercises.
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Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
TL;DR: In this article, the existence of periodic solutions of the second-order Caratheodory problem is studied, by combining some new properties of Green's function together with Krasnoselskii fixed point theorem on compression and expansion of cones.
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Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
TL;DR: In this paper, the boundary value problem was considered in the context of boundary value maximization, where the authors considered the problem of finding a boundary value for a given set of variables.
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On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions
TL;DR: In this paper, the existence of positive solutions of second-order nonlinear differential equations on a finite interval with periodic boundary conditions was proved and upper and lower bounds for these positive solutions were given.
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