EuDML | Browse

Based on the coincidence degree theory of Mawhin, we get a new general existence result for the following higher-order multi-point boundary value problem at resonance $x^{(n)} (t) = f (t, x (t), x^{'} (t), \dots, x^{(n - 1)} (t)), t \in (0, 1), x (0) = \sum_{i = 1}^{m} α_{i} x (ξ_{i}), x^{'} (0) = \dots = x^{(n - 2)} (0) = 0, x^{(n - 1)} (1) = \sum_{j = 1}^{l} β_{j} x^{(n - 1)} (η_{j}),$ where $f : [0, 1] \times ℝ^{n} \to ℝ$ is a Carathéodory function, $0 < ξ_{1} < ξ_{2} < \dots < ξ_{m} < 1$ , $α_{i} \in ℝ$ , $i = 1, 2, \dots, m$ , $m \geq 2$ and $0 < η_{1} < \dots < η_{l} < 1$ , $β_{j} \in ℝ$ , $j = 1, \dots, l$ , $l \geq 1$ . In this paper, two of the boundary value conditions are responsible for resonance.

Solvability of a multi-point boundary value problen of Neumann type.

Gupta, Chaitan P., Trofimchuk, Sergei (1999)

Abstract and Applied Analysis

Solvability of a nonlinear third-order three-point general eigenvalue problem on time scales.

Prasad, Kapula R., Suryanarayana, Nadakuduti V.V.S. (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solvability of a $(p, n - p)$ -type multipoint boundary value problem for higher-order differential equations.

Liu, Yuji, Ge, Weigao (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solvability of a three-point nonlinear boundary-value problem.

Guezane-Lakoud, Assia, Kelaiaia, Smail (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Solvability of second-order $m$ -point boundary value problems with impulses.

Li, Jianli, Liu, Sanhui (2007)

Boundary Value Problems [electronic only]

Some remarks on three-point and four-point bvp's for second-order nonlinear differential equations.

Kwong, Man Kam, Wong, James S.W. (2009)

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

Some results on boundary value problems for multivalued differential equations

Giuseppe Conti, Rita Iannacci (1987)

Annales Polonici Mathematici

Stability for parameter estimation in two point boundary value problems.

K. Kunisch, F. Colonius (1986)

Journal für die reine und angewandte Mathematik

Structure of eigenvalues of multi-point boundary value problems.

Gao, Jie, Sun, Dongmei, Zhang, Meirong (2010)

Advances in Difference Equations [electronic only]

Successive approximation method for investigating three point boundary value problem with singular matrices.

Ronto, M., Tégen, R.M. (1994)

Mathematica Pannonica

Successive iteration and positive solutions for nonlinear $m$ -point boundary value problems on time scales.

Sang, Yanbin (2009)

Discrete Dynamics in Nature and Society

Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line

Hugo Carrasco, Feliz Minhós (2017)

Commentationes Mathematicae Universitatis Carolinae

This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.

Sul problema del rimbalzo in un insieme convesso

Marco Degiovanni (1982)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In the present paper we seek the bounce trajectories in a convex set which assume assigned positions in two fixed time instants. We find sufficient conditions in order to obtain the existence of infinitely many bounce trajectories.

Currently displaying 361 – 380 of 439

Previous Page 19 Next