[PDF] Top 20 Existence of fast homoclinic solutions for a class of second-order damped vibration systems

... investigate fast homoclinic so- lutions for problem ...of fast homo- clinic solutions for problem ...and fast homoclinic solutions are the critical points of the certain ... See full document

... the existence of fast homoclinic solutions to the above ...the existence of fast homoclinic solutions for a class of second order ...the ... See full document

... In order to introduce the concept of fast homoclinic solutions for problem ...the fast homoclinic solutions are the critical points of the certain ... See full document

... the existence of homo- clinic solutions of (HS) is quite different from the periodic systems because of the lack of compactness of the Sobolev embedding, see for instance [1, 11, 15, 19] and the ... See full document

... new existence theorems for homoclinic solutions are obtained for a class of second-order discrete p -Laplacian systems by critical point theory, a homoclinic orbit ... See full document

... In this paper, motivated by [, , , , , ] and [], we focus on the existence of subharmonic weak solutions for system (.), which is of impulsive conditions, and we study the problem under ... See full document

... Homoclinic solutions of dynamical systems are very important in applications for a lot of ...their existence one may, under proper conditions, deduce the bifurcation behavior of pe- riodic ... See full document

... the existence and multiplicity of nontrivial homoclinic solutions for a class of second-order Hamiltonian systems with variable separated type nonlinear ... See full document

... the existence and multiplicity of solutions for impulsive differential equations via variational methods have been investigated by some ...clinic solutions of impulsive differential equations by ... 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 ... See full document

... the existence and mul- tiplicity of periodic and homoclinic solutions for HSs have extensively been investigated in many articles via variational methods, see ...Also second-order HSs ... See full document

... On the other hand, the p(t)-Laplacian system has been studied by many authors in the last two decades, see, for example, [–] and the references cited therein. In [], by us- ing linking methods, the authors obtained ... See full document

... the existence and multiplicity of solutions to a class of damped vibration problems with impulsive effects on time ...two existence results and two multiplicity results are ... See full document

... discrete systems has widely been used to study discrete mod- els appearing in many fields such as electrical circuit analysis, matrix theory, control theory, discrete variational theory, ...equations, ... See full document

... the existence of ground state homoclinic orbits for damped vibration systems without periodic conditions by using variational ... See full document

... the existence of periodic solutions, subharmonic solutions, and homoclinic solutions of some special forms of ...periodic solutions for difference ...the existence of ... See full document

... In what follows, we consider the third-order differential equation (1.2) and obtain some conditions for the existence of periodic solutions for it. These con- ditions are applicable to many ... See full document

... When B = 0 (zero matrix), the authors [6] studied the special case of (1.1) and ob- tained the existence and multiplicity of periodic solutions. When B = 0, the author [2] obtained infinitely many periodic ... See full document

... differential systems driven by the p- Laplacian. The existence and multiplicity of homoclinic orbits for the p-Laplacian Hamil- tonian system were studied in recent papers [5–7, 10, 12, 13, 19, 20, ... See full document

... x∈ .Hence we have, by (8),(b) is satisfied. It follows from the generalized saddle point theorem (Theorem 1.7 in [4]) that has at least r + 1 critical points .Hence ϕ has at least r + 1 geometrically distinct critical ... See full document