A multiplicity result for a boundary value problem with infinitely many singularities

Positive solutions of three‐point boundary value problems for higher‐order p‐Laplacian with infinitely many singularities

“…Motivated by the results mentioned above, in this paper, we extend the results obtained in [4] to the more general three-point boundary value problems (1.1)-(1.2) which are generalization of problems (1.4). We would stress that the results presented in this paper complement and improve those obtained in [3,4], since we allow nonlinearity to have infinitely many singularities and the boundary value conditions are more general. We will show that the problems (1.1)-(1.2) have infinitely many solutions if g and f satisfy some suitable conditions.…”

“…Very recently, Kaufmann and Kosmatov [3] established the result of countably many positive solutions for the two-point boundary value problems with infinitely many singularities of the following form:…”

Positive Solutions for Singular Third-Order Boundary Value Problem with Dependence on the First Order Derivative on the Half-Line

“…The nonlinear term is allowed to depend on the first order derivative u which are the complement of previously known results [9,[11][12][13].…”

“…However, in [9,11,13] the authors only studied multi-point boundary value problems on the finite interval. They showed that there exist countably many positive solutions by using fixedpoint theorem for operators on a cone.…”

Multiple positive solutions for a class of m-point boundary value problems

“…Recently, the existence and multiplicity of positive solutions for nonlinear ordinary differential equations and difference equations have received a great deal of attention. To identify a few cases, we refer the reader to [1,[5][6][7][8][9][10][11][12][13][14][15] and references therein.…”