Test for disconjugacy of a differential inclusion of neutral type.
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Haščák, A. (1997)
Georgian Mathematical Journal
Zdzisław Denkowski (1970)
Annales Polonici Mathematici
Sulkhan Mukhigulashvili (2013)
Czechoslovak Mathematical Journal
The a priori boundedness principle is proved for the Dirichlet boundary value problems for strongly singular higher-order nonlinear functional-differential equations. Several sufficient conditions of solvability of the Dirichlet problem under consideration are derived from the a priori boundedness principle. The proof of the a priori boundedness principle is based on the Agarwal-Kiguradze type theorems, which guarantee the existence of the Fredholm property for strongly singular higher-order linear...
Bing Liu, Jianshe Yu (2000)
Annales Polonici Mathematici
We consider a boundary value problem for a differential equation with deviating arguments and p-Laplacian: , x’(t), x’(τ(t))) = 0, t ∈ [0,1]; t ≤ 0; , t ≥ 1. An existence result is obtained with the help of the Leray-Schauder degree theory, with no restriction on the damping forces d/dt grad F(x).
Vernon L. Bakke, Zdzisław Jackiewicz (1989)
Aplikace matematiky
A numerical method for the solution of a second order boundary value problem for differential equation with state dependent deviating argument is studied. Second-order convergence is established and a theorem about the asymptotic expansion of global discretization error is given. This theorem makes it possible to improve the accuracy of the numerical solution by using Richardson extrapolation which results in a convergent method of order three. This is in contrast to boundary value problems for...
Chantladze, T., Kandelaki, N., Lomtatidze, A., Ugulava, D. (2000)
Memoirs on Differential Equations and Mathematical Physics
Azbelev, N.V., Rakhmatullina, L.F. (1996)
Memoirs on Differential Equations and Mathematical Physics
Guan, W. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Staněk, Svatoslav (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Yanli He, Kun Li (2021)
Applications of Mathematics
In this paper, we are concerned with the existence of traveling waves in a class of delayed higher dimensional lattice differential systems with competitive interactions. Due to the lack of quasimonotonicity for reaction terms, we use the cross iterative and Schauder's fixed-point theorem to prove the existence of traveling wave solutions. We apply our results to delayed higher-dimensional lattice reaction-diffusion competitive system.
Liu, Xiuxiang, Weng, Peixuan, Xu, Zhiting (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Karakostas, George L. (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Wei, Yuming, Wong, Patricia J.Y. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Mavridis, Kyriakos G. (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Mavridis, Kyriakos G., Tsamatos, Panagiotis Ch. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Mukhigulashvili, S. (2000)
Memoirs on Differential Equations and Mathematical Physics
Staněk, Svatoslav (1998)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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