Results 21 to 30 of about 54 (43)

Lyapunov-type inequalities for certain higher-order half-linear differential equations

open access: yesJournal of Mathematical Inequalities, 2019
In this paper, we will establish some new Lyapunov-type inequalities for some higherorder half-linear differential equations with anti-periodic boundary conditions.
Haidong Liu
semanticscholar   +1 more source

The role of boundary data on the solvability of some equations involving non-autonomous nonlinear differential operators

open access: yesBoundary Value Problems, 2013
The paper deals with the existence and non-existence of solutions of the following strongly nonlinear non-autonomous boundary value problem: (P){(a(t,x(t))Φ(x′(t)))′=f(t,x(t),x′(t))a.e. t∈R,x(−∞)=ν−,x(+∞)=ν+ with ν−
C. Marcelli
semanticscholar   +2 more sources

Periodic solutions to a generalized Liénard neutral functional differential system with p-Laplacian

open access: yesJournal of Inequalities and Applications, 2012
By means of the generalized Mawhin’s continuation theorem, we present some sufficient conditions which guarantee the existence of at least one T-periodic solution for a generalized Liénard neutral functional differential system with p-Laplacian.MSC:34B15,
Qing Yang, Bo Du
semanticscholar   +2 more sources

Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent

open access: yesNonautonomous Dynamical Systems, 2020
We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method.
Ibrango Idrissa   +3 more
doaj   +1 more source

Lower bounds for eigenvalues of the one‐dimensional p‐Laplacian

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 2, Page 147-153, 2004., 2004
We present sharp lower bounds for eigenvalues of the one‐dimensional p‐Laplace operator. The method of proof is rather elementary, based on a suitable generalization of the Lyapunov inequality.
Juan Pablo Pinasco
wiley   +1 more source

Nonresonance conditions for fourth order nonlinear boundary value problems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 725-740, 1994., 1994
This paper is devoted to the study of the problem We assume that f can be written under the form where r is a bounded function. We obtain existence conditions related to uniqueness conditions for the solution of the linear problem
C. De Coster, C. Fabry, F. Munyamarere
wiley   +1 more source

Multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations

open access: yesNonautonomous Dynamical Systems, 2018
In this article, we prove the existence and multiplicity of solutions to discrete inclusions with the p(k)-Laplace type equations. We are interested in the existence of three solutions with the aid of linking arguments and using a three critical points ...
Ouaro Stanislas, Zoungrana Malick
doaj   +1 more source

The generalized fractional order of the Chebyshev functions on nonlinear boundary value problems in the semi-infinite domain

open access: yesNonlinear Engineering, 2017
A new collocation method, namely the generalized fractional order of the Chebyshev orthogonal functions (GFCFs) collocation method, is given for solving some nonlinear boundary value problems in the semi-infinite domain, such as equations of the unsteady
Parand Kourosh, Delkhosh Mehdi
doaj   +1 more source

Weak homoclinic solutions of anisotropic difference equation with variable exponents

open access: yesAdvances in Differential Equations, 2012
In this paper, we prove the existence of homoclinic solutions for a family of anisotropic difference equations. The proof of the main result is based on a minimization method and a discrete Hölder type inequality. MSC:47A75, 35B38, 35P30, 34L05, 34L30.
A. Guiro, B. Kone, S. Ouaro
semanticscholar   +1 more source

On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

open access: yes, 2011
In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
A. Guiro, Ismael Nyanquini, S. Ouaro
semanticscholar   +1 more source

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