11/23/2023 0 Comments Unbounded solution space![]() Journal of Mathematical Analysis and Applications 1997, 212(2):467-480. 10.1016/0022-247X(92)90179-Hįeng W, Webb JRL: Solvability of -point boundary value problems with nonlinear growth. Journal of Mathematical Analysis and Applications 1992, 168(2):540-551. Gupta CP: Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation. II'in VA, Moiseev EI: Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator. II'in VA, Moiseev EI: Nonlocal boundary value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects. Finally, we formulate two examples to illustrate the main results.īicadze AV, Samarskiĭ AA: Some elementary generalizations of linear elliptic boundary value problems. In Section 4, the existence and uniqueness of positive solution are obtained. In Section 3, the existence of unbounded solution is established. In Section 2, we give some preliminaries and lemmas. The rest of the paper is organized as follows. The main tools used in this paper are Leray-Schauder nonlinear alternative and the fixed point index theory. Hence, we extend and generalize the results of to some degree. Obviously, with the boundary condition in (1.1), if the solution exists, it is unbounded. Thirdly, we will obtain the unbounded (positive) solution to BVP (1.1). ![]() Secondly, we will study multi-point BVP on infinite intervals. ![]() Firstly, BVP (1.1) depends on derivative, and the boundary conditions are more general. Motivated by the above works, we will study the existence results of unbounded (positive) solution for second order multi-point BVP (1.1). established the results of existence and multiplicity of positive solutions to the BVP (1.3) by using lower and upper solutions technique. ![]()
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