Results 151 to 160 of about 7,158,567 (167)

Multiplicity of Homoclinic solutions for fractional discrete $p-$Laplacian equations

In this study, we investigate the existence and multiplicity of solutions for a fractional discrete $p-$ Laplacian equation on $ \mathbb{Z} $, via the mountain pass lemma and Ekeland’s variational principle. Under suitable hypotheses on functions $V$ and $f$, we prove that this equation admits at least two nonnegative and nontrivial homoclinic ...
Jiabin Zuo, Tahar Bouali, Rafik GUEFAIFIA, Libo Yang   +3 more
openaire   +1 more source

Multiple homoclinic solutions for nonsmooth second-order differential systems

Zeitschrift für Analysis und ihre Anwendungen
In the present paper, we obtain infinitely many pairs of homoclinic solutions for a class of nonsmooth second-order differential systems when the energy functional associated is not continuously differentiable and does not satisfy the Palais–Smale condition.
openaire   +1 more source

Multiplicity results for homoclinic solutions in nonsmooth dynamical p-Laplacian systems without compactness

Journal of Interdisciplinary Mathematics
This paper investigates a class of nonsmooth dynamical p-Laplacian systems and establishes the existence of infinitely many homoclinic solutions-solutions that vanish at infinity. The main novelty lies in overcoming the lack of the Palais-Smale compactness condition by employing a refined variant of Clarke’s critical point theory, adapted to the ...
openaire   +1 more source

Multiple homoclinic solutions for a class of autonomous singular systems in $\bold R^2$R2.

1998
We look for homoclinic solutions for a class of second order autonomous Hamiltonian systems in R-2 with a potential V having a strict global maximum at the origin and a finite set S subset of R-2 of singularities, namely V(x) --> -infinity as dist(x,S) --> 0.
CALDIROLI P, NOLASCO, MARGHERITA
openaire   +1 more source

Two homoclinic solutions for a nonperiodic fourth order differential equation with a perturbation

Journal of Mathematical Analysis and Applications, 2014
Juntao Sun, Tsung-Fang Wu
exaly  

Multiple Homoclinic Solutions for a Class of Fractional Hamiltonian Systems

Progress in Fractional Differentiation and Applications, 2016
openaire   +1 more source

Homoclinic solutions for a class of second-order Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2009
X H Tang
exaly  

Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2011
Juan J Nieto, Juntao Sun
exaly  

Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential

Journal of Mathematical Analysis and Applications, 2009
X H Tang
exaly  

Infinitely many homoclinic solutions for some second order Hamiltonian systems

Nonlinear Analysis: Theory, Methods & Applications, 2011
Juntao Sun
exaly