Periodic boundary value problems for th-order ordinary differential equations with -Laplacian.

Liu, Yuji; Ge, Weigao

Displaying similar documents to “Periodic boundary value problems for $n$ th-order ordinary differential equations with $p$ -Laplacian.”

Existence of positive solutions for a class of higher-order $m$ -point boundary value problems.

Luca, R. (2010)

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

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Solutions of a multi-point boundary value problem for higher-order differential equations at resonance. (II)

Yuji Liu, Weigao Ge (2005)

Archivum Mathematicum

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In this paper, we are concerned with the existence of solutions of the following multi-point boundary value problem consisting of the higher-order differential equation $x^{(n)} (t) = f (t, x (t), x^{'} (t), \dots, x^{(n - 1)} (t)) + e (t), 0 < t < 1, (*)$ and the following multi-point boundary value conditions $\begin{matrix} 1 * - 1 x^{(i)} (0) & = 0 f o r i = 0, 1, \dots, n - 3, \\ x^{(n - 1)} (0) & = α x^{(n - 1)} (ξ), x^{(n - 2)} (1) = \sum_{i = 1}^{m} β_{i} x^{(n - 2)} (η_{i}) . * * \end{matrix}$ Sufficient conditions for the existence of at least one solution of the BVP $(*)$ and $(* *)$ at resonance are established. The results obtained generalize and complement those in [13, 14]. This paper is directly motivated by Liu and Yu [J. Pure Appl. Math. 33 (4)(2002),...

On positive solutions of a class of second order nonlinear differential equations on the halfline

Svatoslav Staněk (1995)

Annales Polonici Mathematici

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The differential equation of the form ${(q (t) k (u) {(u^{'})}^{a})}^{'} = f (t) h (u) u^{'}$ , a ∈ (0,∞), is considered and solutions u with u(0) = 0 and (u(t))² + (u’(t))² > 0 on (0,∞) are studied. Theorems about existence, uniqueness, boundedness and dependence of solutions on a parameter are given.

A note on the existence of solutions to some nonlinear functional integral equations.

Purnaras, I.K. (2006)

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

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Integral equations with contrasting kernels.

Burton, T.A. (2008)

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

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Solutions to a three-point boundary value problem.

Liang, Jin, Lv, Zhi-Wei (2011)

Advances in Difference Equations [electronic only]

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On a fixed point theorem of Krasnosel'skii type and application to integral equations.

Ngoc, Le Thi Phuong, Long, Nguyen Thanh (2006)

Fixed Point Theory and Applications [electronic only]

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On the existence of solutions to some nonlinear integrodifferential equations with delays.

Purnaras, I.K. (2007)

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

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Fixed points and stability in nonlinear equations with variable delays.

Ding, Liming, Li, Xiang, Li, Zhixiang (2010)

Fixed Point Theory and Applications [electronic only]

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Existence of positive solutions for multi-point boundary value problems.

Karna, B., Lawrence, B. (2007)

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

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Nonnegative solutions of a class of second order nonlinear differential equations

S. Staněk (1992)

Annales Polonici Mathematici

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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.

Displaying similar documents to “Periodic boundary value problems for n th-order ordinary differential equations with p -Laplacian.”

Displaying similar documents to “Periodic boundary value problems for $n$ th-order ordinary differential equations with $p$ -Laplacian.”