Results 11 to 20 of about 12,072 (286)

Infinitely Many Elliptic Solutions to a Simple Equation and Applications [PDF]

open access: yesAbstract and Applied Analysis, 2013
Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems. First, we give some nonlinear iterated formulae of solutions and some elliptic function solutions to a simple auxiliary equation, which results in infinitely many ...
Long Wei, Yang Wang
openaire   +6 more sources

Infinitely many solutions for Hamiltonian systems [PDF]

open access: yesJournal of Differential Equations, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zou, Wenming, Li, Shujie
openaire   +2 more sources

Infinitely many solutions for perturbed Kirchhoff type problems [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
In this paper, we discuss a superlinear Kirchhoff type problem where the non-linearity is not necessarily odd. By using variational and perturbative methods, we prove the existence of infinitely many solutions in the non-symmetric case.
Weibing Wang
doaj   +3 more sources

Infinitely Many Quasi-Coincidence Point Solutions of Multivariate Polynomial Problems [PDF]

open access: yesAbstract and Applied Analysis, 2013
Let F:ℝn×ℝ→ℝ be a real-valued polynomial function of the form F(x¯,y)=as(x¯)ys+as-1(x¯)ys-1+⋯+a0(x¯) where the degree s of y in F(x¯,y) is greater than 1. For arbitrary polynomial function f(x¯)∈ℝ[x¯], x¯∈ℝn, we will find a polynomial solution y(x¯)∈ℝ[x¯]
Yi-Chou Chen
doaj   +2 more sources

Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
We investigate a class of critical stationary Kirchhoff fractional $p$-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of ...
Vincenzo Ambrosio   +2 more
doaj   +3 more sources

Infinitely many solutions for $2k$-th order BVP with parameters [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2019
In this paper we consider a special case of BVP for higher-order ODE, where, the linear part consists of only even-order derivatives and depends on a set of real parameters. Among many questions related to this problem we are especially interested in the
Mariusz Jurkiewicz
doaj   +3 more sources

Infinitely many positive solutions for fractional differential inclusions [PDF]

open access: yesElectronic Journal of Differential Equations, 2016
In this article, we study a class of fractional differential inclusions problem. By nonsmooth variational methods and the theory of the fractional derivative spaces, we establish the existence of infinitely many positive solutions of the problem under
Ge Bin, Ying-Xin Cui, Ji-Chun Zhang
doaj   +1 more source

Infinitely many solutions for a fourth-order boundary-value problem [PDF]

open access: yesElectronic Journal of Differential Equations, 2012
In this article we consider the existence of infinitely many solutions to the fourth-order boundary-value problem $$displaylines{ u^{iv}+alpha u''+eta(x) u=lambda f(x,u)+h(u),quad xin]0,1[cr u(0)=u(1)=0,cr u''(0)=u''(1)=0,.
Seyyed Mohsen Khalkhali   +2 more
doaj   +1 more source

Infinitely many solutions for a boundary Yamabe problem [PDF]

open access: yesNonlinear Differential Equations and Applications NoDEA
23 ...
Battaglia, Luca   +2 more
openaire   +3 more sources

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