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  1. Not considering the Green’s function, the present study starts to construct a cone formed by a nonlinear term in Banach spaces, and through the cone creates a convex closed set. We obtain the existence of solu...

    Authors: Yanlai Chen, Tingqiu Cao and Baoxia Qin
    Citation: Boundary Value Problems 2014 2014:128
  2. In this paper, we consider a class of non-periodic damped vibration problems with superquadratic nonlinearities. We study the existence of nontrivial ground state homoclinic orbits for this class of damped vib...

    Authors: Guan-Wei Chen and Jian Wang
    Citation: Boundary Value Problems 2014 2014:106
  3. In the framework of the small perturbations theory, we study the incompressible inviscid flow of a uniform stream past an oscillatory/undulatory thin hydrofoil including floor effects. A Green function is used...

    Authors: Eleonora Răpeanu and Adrian Carabineanu
    Citation: Boundary Value Problems 2014 2014:104
  4. In this paper, by using the coincidence degree theory and the upper and lower solutions method, we deal with the existence of multiple solutions to three-point boundary value problems for second-order differen...

    Authors: Yulin Zhao, Haibo Chen and Qiming Zhang
    Citation: Boundary Value Problems 2014 2014:103
  5. We apply dynamical system methods and Melnikov theory to study small amplitude perturbation of some coupled implicit differential equations. In particular we show the persistence of such orbits connecting sing...

    Authors: Flaviano Battelli and Michal Fečkan
    Citation: Boundary Value Problems 2014 2014:101
  6. This work is devoted to the study of the existence and sign of Green’s functions for first order linear problems with constant coefficients and initial (one point) conditions. We first prove a result on the ex...

    Authors: Alberto Cabada and Fernando Adrián Fernández Tojo
    Citation: Boundary Value Problems 2014 2014:99
  7. In this paper we introduce and investigate the eigenvalues and the normalizing numbers as well as the scattering function for some version of the one-dimensional Schrödinger equation with turning point on the ...

    Authors: Zaki FA El-Raheem and AH Nasser
    Citation: Boundary Value Problems 2014 2014:97

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