[PDF] Top 20 Infinitely many solutions to superlinear second order m-point boundary value problems

... Superlinear problems with classical boundary value conditions have been considered in many papers, particularly in the second and fourth order cases, with either periodic ... See full document

... We explicitly observe that methods and techniques used in the proof of Theorem 3.1 can be applied to a wide class of nonlinear differential problems to investigate infinitely many solutions. ... See full document

... We study the existence of a class of nonlinear elliptic equation with Neumann boundary condition, and obtain infinitely many nodal solutions. The study of such a problem is based on the ... See full document

... positive solutions for higher order boundary value problems with integral boundary conditions on time ...third order boundary value problem with integral ... See full document

... infinitely many homoclinic solutions for a class of second-order Hamiltonian ...the second-order Hamiltonian systems have infinitely many homoclinic ... See full document

... From Remark . we know, on the one hand, Theorem . improves the result in [] by weakening the corresponding condition. On the other hand, Theorem . is a general- ization of the result in [] from single elliptic ... See full document

... in many areas, including fluid flow, electrical net- works, probability and statistics, chemical physics and signal processing and so on; see [–] and the references ...been many papers dealing with the ... See full document

... these problems: the fixed point theo- rems [, ], the method of upper and lower solutions [], or the topological degree theory ...of solutions by variational methods; see ... See full document

... fixed point theorem of cone expansion and compression of norm type and a new method to deal with the impulsive term, we prove that the second-order singular impulsive Neumann boundary ... See full document

... Fractional differential equations (FDEs) are a simplification of ordinary differential equa- tions and integration to arbitrary non-integer orders. FDEs have recently established themselves as precious tools in modeling ... See full document

... Jiang, Q, Tang, C: Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems. Wang, Z, Zhang, J: Periodic solutions of a class of second order non-au[r] ... See full document

... this, many authors have studied the existence of at least one solution, or multiple solutions, or even infinitely many solu- tions for fourth-order boundary value ... See full document

... positive solutions for nonlinear second-order and higher-order multipoint boundary value problems has been studied by several authors, for example, see 1–12 and the ... See full document

... fixed point index ...same problems where the solu- tion is without concavity; for example, see some recent excellent results and applications of the case of ordinary differential equations with deviating ... See full document

... Integral boundary value problems occur in the study of nonlocal phenomena in many different areas of applied mathematics, physics and engineering, ... See full document

... of solutions of two- point, three-point, multi-point, and integral boundary value problems for nonlinear or- dinary differential equations and fractional differential ... See full document

... positive solutions for a system of nonlinear second-order difference equations subject to multi-point boundary conditions, under some assumptions on the nonlinearities of the system ... See full document

... the solutions of a second-order m-point nonlocal boundary value problem by applying a generalized quasilinearization ...of solutions converging uniformly and ... See full document

... The rest of the paper is organized as follows. Section 2 contains preliminary definitions and some eigenvalue results of corresponding linear problems of 1.8, 1.9. In Section 3, we give two Rabinowize-type global ... See full document

... Multi-point boundary value problems for ordinary differential equations arise in different areas of applied mathematics and ...of solutions of the second order ... See full document