“…Such problems have been considered by many authors [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Specifically, Boucherif [19] exploited the fixed point theorem in cones to study the following problem: The author got several excellent results on the existence of positive solutions to problem (1.1).…”
“…Such problems have been considered by many authors [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Specifically, Boucherif [19] exploited the fixed point theorem in cones to study the following problem: The author got several excellent results on the existence of positive solutions to problem (1.1).…”
“…The study of boundary value problems with positive solutions has attracted recently the attention of different researchers and it is a topic of current interest; see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16], and the references therein.…”
Under simple conditions on f and a, we show the existence of positive radial solutions for the n-dimensional elliptic differential system u(x) + Λa(|x|)f(u(x)) = 0, R 1 < |x| < R 2 , u| |x|=R 1 = u| |x|=R 2 = 0.
“…Wang and An [224] investigated the existence, multiplicity, and nonexistence of positive solutions for nonhomogeneous m-point BVP with two parameters. Under conditions weaker than those used by Ma, Zhang and Ge [238] established various results on the existence and nonexistence of symmetric positive solutions to fourthorder BVP with integral BC. By using a fixed point theorem in a cone and the nonlocal third-order BVP Green's function, the existence of at least one positive solution for the third-order BVP with the integral BC was considered by Guo and Yang in [68].…”
Section: Stationary Problem With Nonlocal Boundary Conditions and Chamentioning
Abstract. In this paper, we present a survey of recent results on the Green's functions and on spectrum for stationary problems with nonlocal boundary conditions. Results of Lithuanian mathematicians in the field of differential and numerical problems with nonlocal boundary conditions are described.
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