[PDF] Top 20 Multiple solutions for a class of perturbed second-order differential equations with impulses

... lower solutions method and monotone iterative method) (see, for example, [–] and references ...of solutions for impul- sive problems have been thoroughly investigated by [–] using variational ... See full document

... In this paper, a class of second-order nonlinear perturbed differential equation and its special cases are studied. By using the generalized Riccati transformation and well-known techniques, ... See full document

... of second order linear neutral differential equation with constant impulsive ...bounded solutions of the said neutral impulsive equation are ... See full document

... impulsive differential equations has become an important aspect of differential ...equations. Differential equations with impulses provide an adequate mathematical model ... See full document

... periodic solutions to ordinary differential systems as well as partial differential equa- tions (see ...periodic solutions for delay differential ...periodic solutions for the func- tional differential ... See full document

... the solutions in polynomial ...handling differential equations with point boundary value problems, kvd and mkdv differential-algebraic equations, and so ... See full document

... differential equations are recognized as adequate mathematical models for studying evolution processes that are subject to abrupt changes in their states at certain ...all solutions of impulsive differential ... See full document

... differential equations, mathematical physics, and geometrical ...of solutions for Hamilton systems and Schrödinger equations have been studied extensively via critical point theory; see ... See full document

... and asymptotic formulas can be established. In contrast to the linear case, a reduction of order formula is not at our disposal. A topic which would also be of interest is to obtain more precise information as ... See full document

... However, it seems that there is little work done on equation () whose coefficient func- tions are meromorphic functions. Recently, Wu et al. discussed the problem correlating with this in []. Now we still consider ... See full document

... of solutions for second-order differential delay equation by using a variational ...periodic solutions of second- order differential delay equation using a ... See full document

... impulsive differential equations, the theory of the asymptotic behaviour of their solutions has not yet been fully ...of solutions of impulsive delay differential equations have ... See full document

... have also been employed to prove the existence of multiple periodic solutions of mixed type differential equations in []. When (.) reduces to the special case, see system (.), we obtain a more ... See full document

... periodic solutions of functional di ff erential equations, one commonly uses methods of fixed point theory, coincidence degree theory, Fourier anal- ysis, and so ...tained multiple periodic ... See full document

... meromorphic solutions of some second order linear differential equations, where it is assumed that the coefficients are meromorphic ... See full document

... In this study, the usefulness of the Chebyshev matrix method presented for the approximate solution of the second order linear partial differential equations is dis- cussed. Also, the method ... See full document

... Tuncay Candan received his M.Sc and Ph.D degree in Applied Mathematics from the Department of Mathematics at Iowa State University, USA. He is currently a Professor of Mathematics at American University of the Middle ... See full document

... Theorem A states that when σQ 1, 1.3 may have finite-order solutions. We go deep into the problem: what condition in Qz when σQ 1 will guarantee every solution f / ≡ 0 of 1.3 has infinite order? And ... See full document

... Examples In this section, we give some examples on our approach for reduction and finding solutions of nonlinear second order ordinary differential equations, these equations and more eq[r] ... See full document

... that second order singular differential equations describe many problems in the applied sciences, such as the Brillouin focusing system and nonlinear ...periodic solutions for singular ... See full document