homoclinic solutions
Fast homoclinic solutions for damped vibration problems with superquadratic potentials
... definite matrix for all t ∈ R and W ∈ C 1 (R × R n ,R). The novelty of this paper is that, assuming lim |t|→+∞ Q(t) = +∞ (Q(t) = 0 t q(s) ds) and L is coercive at infinity, we establish one new compact embedding theorem. ...
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Homoclinic solutions for a class of prescribed mean curvature Liénard equations
... periodic solutions for a prescribed mean curvature Rayleigh ...of homoclinic solutions for some second-order Hamiltonian systems has been extensively studied by using critical point theory ...of ...
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Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
... The homoclinic solutions have been proved to be important in studying the behavior of dynamic ...of homoclinic solutions for problem (1) as the limit of a sequence of subharmonics which are ...
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On Homoclinic Solutions of a Semilinear Laplacian Difference Equation with Periodic Coefficients
... A typical example of 3.8 is 3.2, which is a discretization of a fourth-order extended Fisher-Kolmogorov equation. Homoclinic solutions for fourth-order ODEs are studied in 7 using variational approach and ...
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Homoclinic solutions for second order discrete p Laplacian systems
... for homoclinic solutions are obtained for a class of second-order discrete p -Laplacian systems by critical point theory, a homoclinic orbit is obtained as a limit of 2 kT -periodic solutions ...
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Weak homoclinic solutions of anisotropic difference equation with variable exponents
... of homoclinic solutions for the problem ...or homoclinic orbit. The notion of a homoclinic orbit was introduced by Poincaré [] for continuous Hamiltonian ...for solutions u of the ...
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Discrete Schrödinger equations in the nonperiodic and superlinear cases: homoclinic solutions
... Using variational methods, we study the existence and multiplicity of homoclinic solutions for a class of discrete Schrödinger equations in infinite m-dimensional lattices with nonlinearities being ...
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Homoclinic solutions for second order Hamiltonian systems near the origin
... many homoclinic solutions is obtained for the nonperiodic second order Hamiltonian systems u(t) – ¨ L(t)u(t) + ∇ W(t,u(t)) = 0, ∀t ∈ R, where L(t) is unnecessarily ...
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Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations
... of homoclinic solutions for ...taining homoclinic solution, we also see the papers ...of homoclinic solutions under the more simple and reasonable ...a homoclinic solution for ...
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Existence of time homoclinic solutions for a class of discrete wave equations
... In this paper, a class of nonperiodic discrete wave equations with Dirichlet boundary conditions are obtained by using the center-difference method. It is a strongly indefinite discrete Hamiltonian system. By using a ...
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Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations
... periodic solutions, subharmonic solutions, and homoclinic solutions of some special forms of ...periodic solutions for difference ...of homoclinic solutions of the ...
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Homoclinic solutions for second-order Hamiltonian systems with periodic potential
... be homoclinic to 0 if u ≡ 0 and u(t) → 0 as | t | → ∞ ...nontrivial homoclinic solutions, then u is called a ground state homoclinic ...
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Fast homoclinic solutions for a class of ordinary p-Laplacian systems
... In this paper, by using variational method, we have dealt with a kind of ordinary p-Laplacian system and obtained the existence of fast homoclinic solutions to the above system. However, we mainly consider ...
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Homoclinic solutions of some second order non periodic discrete systems
... without any periodicity assumptions. Adopting some reasonable assumptions for A and L , we establish that two new criterions for guaranteeing above systems have one non-trivial homoclinic solution. Besides that, ...
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Homoclinic solutions for a kind of prescribed mean curvature Duffing type equation
... of homoclinic solutions for pre- scribed mean curvature Duffing-type equation corresponding theory, which has not been investigated till now to the best of our ...a homoclinic solution for ...
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Infinitely many homoclinic solutions for a class of second order Hamiltonian systems
... In this paper, we deal with the existence of infinitely many homoclinic solutions for a class of second-order Hamiltonian systems. By using the dual fountain theorem, we give some new criteria to guarantee ...
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Existence of homoclinic solutions for a class of difference systems involving p Laplacian
... periodic solutions and subharmonic solutions for difference equations or differential equations, which show that the critical point theory is an effective method to study periodic solu- tions of difference ...
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On symmetric positive homoclinic solutions of semilinear p-Laplacian differential equations
... and b are strictly positive and even. First, we prove a result on symmetry of positive solutions of p-Laplacian ODEs. Then, using the mountain-pass theorem, we prove the existence of symmetric positive ...
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New conditions on homoclinic solutions for a subquadratic second order Hamiltonian system
... (.) is bounded from below, techniques based on the genus properties have been well applied. In particular, Clark’s theorem is an effective tool to prove the existence and mul- tiplicity of homoclinic ...
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Homoclinic solutions for a forced generalized Liénard system
... solution, homoclinic solution is one of important subject in the study of qualitative theory of differential ...to homoclinic solutions and heteroclinic solutions for small perturba- tion of ...
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