Positive Periodic Solutions of Second-Order Differential Equations with Delays
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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
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Monotone iterative technique for second order delayed periodic problem in Banach spaces
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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.
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On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays
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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.
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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.
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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.
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Positive periodic solutions for high-order differential equations with multiple delays in Banach spaces
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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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Positive Periodic Solutions of Nonlinear Second Order Ordinary Differential Equations
TL;DR: In this article, the problem of positive periodic solutions for a class of nonlinear second order ODEs was discussed and some exist-ence and multiplicity results of such solutions were derived by utilizing a fixed point theorem on cone.
Journal ArticleDOI
Positive periodic solutions of first and second order ordinary differential equations
TL;DR: In this paper, the existence results of positive ω-periodic solutions are obtained for second order ordinary differential equation -u''(t)=f(t,u(t)) (t∈ℝ).
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Anti-periodic solutions for a class of nonlinear second-order Rayleigh equations with delays
TL;DR: In this paper, Leray-Schauder degree theory was used to establish the existence and uniqueness of anti-periodic solutions for a kind of nonlinear second-order Rayleigh equations with delays of the form x ″ + f ( t, x ′ ( t ) ) + g ( t, x ( t - τ (t ) ) ) = e( t ).
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Existence nonexistence and multiplicity of periodic solutions for a kind of functional differential equation with parameter
TL;DR: In this paper, the existence, multiplicity and nonexistence of positive ω -periodic solutions for a kind of second-order delay functional differential equation with parameter u ( t ) + a (t ) u( t ) = λ f ( t, u (t − τ 0 ( t )), u (T − τ 1 ( t ), etc.
Journal ArticleDOI
Periodic solutions of a second order forced sublinear differential equation with delay
Jing-Wen Li,Sui Sun Cheng +1 more
TL;DR: The existence criteria are established for the existence of periodic solutions of a second order sublinear differential equation with delay and forcing function, based on careful a priori estimation and continuation theorems.
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