Results 11 to 20 of about 149 (74)

Study of periodic solutions for third-order iterative differential equations via Krasnoselskii-Burton’s theorem

open access: yesActa Universitatis Sapientiae: Mathematica, 2022
This paper studies the existence of periodic solutions of a third order iterative differential equation. The main tool used here is Krasnoselskii-Burton’s fixed point theorem dealing with a sum of two mappings, one is a large contraction and the other is
Guerfi Abderrahim, Ardjouni Abdelouaheb
doaj   +1 more source

Optimal Perturbation Iteration Method for Bratu-Type Problems [PDF]

open access: yes, 2016
In this paper, we introduce the new optimal perturbation iteration method based on the perturbation iteration algorithms for the approximate solutions of nonlinear differential equations of many types. The proposed method is illustrated by studying Bratu-
Bildik, Necdet, Deniz, Sinan
core   +2 more sources

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

On sums of powers of zeros of polynomials [PDF]

open access: yes, 1997
Due to Girard's (sometimes called Waring's) formula the sum of the $r-$th power of the zeros of every one variable polynomial of degree $N$, $P_{N}(x)$, can be given explicitly in terms of the coefficients of the monic ${\tilde P}_{N}(x)$ polynomial ...
Lang, Wolfdieter
core   +2 more sources

Existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian operator [PDF]

open access: yes, 2011
In the present paper, using the three critical points theorem and variational method, we study the existence and multiplicity of solutions for a Dirichlet problem involving the discrete p(x)-Laplacian ...
Mashiyev, R.A., Ogras, S., Yucedag, Z.
core   +4 more sources

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

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.
Q. 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

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

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