A cantilever equation with nonlinear boundary conditions.
A class of second order BVPs on infinite intervals.
A class of singular fourth-order boundary value problems with nonhomogeneous nonlinearity
We study the existence of positive solutions to a class of singular nonlinear fourth-order boundary value problems in which the nonlinearity may lack homogeneity. By introducing suitable control functions and applying cone expansion and cone compression, we prove three existence theorems. Our main results improve the existence result in [Z. L. Wei, Appl. Math. Comput. 153 (2004), 865-884] where the nonlinearity has a certain homogeneity.
A global curve of stable, positive solutions for a -Laplacian problem.
A necessary and sufficient condition for the existence of positive solutions to singular boundary-value problems of higher order differential equations.
A new approach for solving nonlinear BVP's on the half-line for second order equations and applications
We present a new approach to solving boundary value problems on noncompact intervals for second order differential equations in case of nonlocal conditions. Then we apply it to some problems in which an initial condition, an asymptotic condition and a global condition is present. The abstract method is based on the solvability of two auxiliary boundary value problems on compact and on noncompact intervals, and uses some continuity arguments and analysis in the phase space. As shown in the applications,...
A note on a beam equation with nonlinear boundary conditions.
A note on radial nonlinear Schrödinger systems with nonlinearity spatially modulated.
A note on the existence of positive solutions of one-dimensional -Laplacian boundary value problems
This paper is concerned with the existence of positive solutions of a multi-point boundary value problem for higher-order differential equation with one-dimensional -Laplacian. Examples are presented to illustrate the main results. The result in this paper generalizes those in existing papers.
A note on the singular Sturm-Liouville problem with infinitely many solutions.
A singular nonlinear boundary-value problem.
A singular third-order 3-point boundary-value problem with nonpositive Green's function.
A survey on nonlocal boundary value problems.
A third order boundary value problem subject to nonlinear boundary conditions
Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem. The boundary conditions that we study are of nonlocal type, involve Stieltjes integrals and are allowed to be nonlinear.
A third-order 3-point BVP. Applying krasnosel'skii's theorem on the plane without a Green's function.
A unified approach to singular problems arising in the membrane theory
We consider the singular boundary value problem where is a given continuous function defined on the set which can have a time singularity at and a space singularity at . Moreover, , , and , , are real constants such that , whereas . The main aim of this paper is to discuss the existence of solutions to the above problem and apply the general results to cover certain classes of singular problems arising in the theory of shallow membrane caps, where we are especially interested in...
An approximation approach to eigenvalue intervals for singular boundary value problems with sign changing and superlinear nonlinearities.
An existence theorem for fractional hybrid differential inclusions of Hadamard type
This paper studies the existence of solutions for fractional hybrid differential inclusions of Hadamard type by using a fixed point theorem due to Dhage. The main result is illustrated with the aid of an example.
An optimal existence theorem for positive solutions of a four-point boundary value problem.
Analysis and numerical solutions of positive and dead core solutions of singular Sturm-Liouville problems.