On a periodic boundary value problem for second-order linear functional differential equations.

Mukhigulashvili, S.

Displaying similar documents to “On a periodic boundary value problem for second-order linear functional differential equations.”

An optimal condition for the uniqueness of a periodic solution for linear functional differential systems.

Mukhigulashvili, S., Grytsay, I. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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On periodic solutions of higher-order functional differential equations.

Kiguradze, I., Partsvania, N., Půža, B. (2008)

Boundary Value Problems [electronic only]

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Periodic BVP with $φ$ -Laplacian and impulses

Vladimír Polášek (2005)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The paper deals with the impulsive boundary value problem $\frac{d}{d t} [φ (y^{'} (t))] = f (t, y (t), y^{'} (t)), y (0) = y (T), y^{'} (0) = y^{'} (T), y (t_{i} +) = J_{i} (y (t_{i})), y^{'} (t_{i} +) = M_{i} (y^{'} (t_{i})), i = 1, ... m .$ The method of lower and upper solutions is directly applied to obtain the results for this problems whose right-hand sides either fulfil conditions of the sign type or satisfy one-sided growth conditions.

Existence of triple positive periodic solutions of a functional differential equation depending on a parameter.

Liu, Xi-Lan, Zhang, Guang, Cheng, Sui Sun (2004)

Abstract and Applied Analysis

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On the existence of one-signed periodic solutions of some differential equations of second order

Jan Ligęza (2006)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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We study the existence of one-signed periodic solutions of the equations $\begin{matrix} x^{''} (t) - a^{2} (t) x (t) + μ f (t, x (t), x^{'} (t)) = 0, & x^{''} (t) + a^{2} (t) x (t) = μ f (t, x (t), x^{'} (t)), \end{matrix}$ where $μ > 0$ , $a : (- \infty, + \infty) \to (0, \infty)$ is continuous and 1-periodic, $f$ is a continuous and 1-periodic in the first variable and may take values of different signs. The Krasnosielski fixed point theorem on cone is used.

On an antiperiodic type boundary value problem for first order linear functional differential equations

Robert Hakl, Alexander Lomtatidze, Jiří Šremr (2002)

Archivum Mathematicum

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Nonimprovable, in a certain sense, sufficient conditions for the unique solvability of the boundary value problem $u^{'} (t) = ℓ (u) (t) + q (t), u (a) + λ u (b) = c$ are established, where $ℓ : C ([a, b]; R) \to L ([a, b]; R)$ is a linear bounded operator, $q \in L ([a, b]; R)$ , $λ \in R_{+}$ , and $c \in R$ . The question on the dimension of the solution space of the homogeneous problem $u^{'} (t) = ℓ (u) (t), u (a) + λ u (b) = 0$ is discussed as well.

Displaying similar documents to “On a periodic boundary value problem for second-order linear functional differential equations.”

An optimal condition for the uniqueness of a periodic solution for linear functional differential systems.

On periodic solutions of higher-order functional differential equations.

Periodic BVP with φ -Laplacian and impulses

Existence of triple positive periodic solutions of a functional differential equation depending on a parameter.

On the existence of one-signed periodic solutions of some differential equations of second order

On an antiperiodic type boundary value problem for first order linear functional differential equations

Periodic BVP with $φ$ -Laplacian and impulses