[PDF] Top 20 Homoclinic solutions for a class of neutral Duffing differential systems

... as |t| → +∞ are different from the corresponding ones used in the past and the exis- tence of kT -periodic solutions to Eq. (.) is obtained by using an extension of Mawhin’s continuation theorem, which is quite ... See full document

... 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 ... See full document

... In [1, 2], and [3], the authors considered homoclinic solutions for the special Hamil- tonian system (1.3) in a weighted Sobolev space and obtained some results by using the mountain pass theorem in ... See full document

... This paper is concerned with the existence of homoclinic solutions for a class of second order p-Laplacian systems with impulsive effects. A new result is obtained under more relaxed conditions ... See full document

... 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 ... See full document

... 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 ... See full document

... In this paper, we introduce a new mixed condition to obtain a new compact embedding theorem. Under this theorem, we study the existence and multiplicity of nontrivial homoclinic solutions for a class ... See full document

... a class of nonperiodic discrete wave equations with Dirichlet boundary conditions are obtained by using the center-difference ...time homoclinic solutions for the system will be ...Hamiltonian ... See full document

... By properly constructing a functional and by using the critical point theory, we establish the existence of homoclinic solutions for a class of subquadratic second-order Hamiltonian systems. ... See full document

... ΔΔun, δ > 0 is the ratio of odd positive integers, {pn} and {qn} are real sequences, {pn} / 0. f : Z × R → R. As usual, we say that a solution un of 1.1 is homoclinic to 0 if un → 0 as n → ±∞. In addition, if ... See full document

... It is well known that the variational method has become an important tool to study the existence and multiplicity of solutions for various difference systems. Lots of contribu- tions have been obtained (for ... See full document

... g ∈ C 1 (R, R), and p ∈ C(R, R). Under some conditions, the author obtains the result that the equation has at least one nontrivial homoclinic solution for p(t) ≡ 0, and the equation has no nontrivial ... See full document

... 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 ... See full document

... In [], Chen and Tang improved Theorem A and Theorem B by relaxing conditions (W) and (W) and removing condition (W). Motivated mainly by the ideas of [, – ], we will consider homoclinic solutions ... See full document

... and homoclinic solutions for HSs have extensively been investigated in many articles via variational methods, see ...on homoclinic orbit for the peri- odic second-order ... See full document

... of homoclinic solutions for second-order differ- ential equations has been widely investigated by using critical point theory, the methods of bifurcation theory, or Mawhin’s continuation theorem (see ...of ... See full document

... of neutral systems of various classes with time de- lays has received an ever-growing interest from many ...for neutral time delay ...periodic solutions of neutral equations and ... See full document

... As far as the case that q(t) = 0 is concerned, to our best knowledge, there is little research about the existence of homoclinic solutions of (DS). In the recent paper [31], for the first time the authors ... See full document

... In this manuscript, we have studied the approximate controllability results for impulsive stochastic fractional neutral integro-differential systems with non-local and state-dependent delay ... See full document

... Theorem 4.6, γ(t) is a homoclinic. The second case shows that γ(t) is a part of a heteroclinic. If the second case occurs, then each solution of (5.20), which lies in heteroclinic, is bounded. By the ... See full document