Resonant problem for some second-order differential equation on the half-line.
Singular boundary value problem on infinite time scale.
Singular problems on the half-line
The paper investigates singular nonlinear problems arising in hydrodynamics. In particular, it deals with the problem on the half-line of the form
Singular -Laplacian third-order BVPs with derivative dependance
This work is devoted to the existence of solutions for a class of singular third-order boundary value problem associated with a -Laplacian operator and posed on the positive half-line; the nonlinearity also depends on the first derivative. The upper and lower solution method combined with the fixed point theory guarantee the existence of positive solutions when the nonlinearity is monotonic with respect to its arguments and may have a space singularity; however no Nagumo type condition is assumed....
Solvability for second-order m-point boundary value problems at resonance on the half-line.
Solvability for second-order nonlocal boundary value problems with a -Laplacian at resonance on a half-line.
Solvability of a second order boundary value problem on an unbounded domain.
Some results for fractional impulsive boundary value problems on infinite intervals
In this paper, we consider a fractional impulsive boundary value problem on infinite intervals. We obtain the existence, uniqueness and computational method of unbounded positive solutions.
Spectral Theory of Singular Hahn Difference Equation of the Sturm-Liouville Type
In this work, we consider the singular Hahn difference equation of the Sturm-Liouville type. We prove the existence of the spectral function for this equation. We establish Parseval equality and an expansion formula for this equation on a semi-unbounded interval.
Sufficient conditions for the solvability of some third order functional boundary value problems on the half-line
This paper is concerned with the existence of bounded or unbounded solutions to third-order boundary value problem on the half-line with functional boundary conditions. The arguments are based on the Green functions, a Nagumo condition, Schauder fixed point theorem and lower and upper solutions method. An application to a Falkner-Skan equation with functional boundary conditions is given to illustrate our results.
Terminal value problem for singular ordinary differential equations: theoretical analysis and numerical simulations of ground states.
The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equations.
Two modifications of the Leggett-Williams fixed point theorem and their applications.
Unbounded solutions of BVP for second order ODE with -Laplacian on the half line
By applying the Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three unbounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.
Unbounded solutions of second-order multipoint boundary value problem on the half-line.
Unbounded upper and lower solution method for third-order boundary-value problems on the half-line.
Wave fronts to some modifications of Korteweg-de Vries and Burgers-Korteweg-de Vries equations
The existence of a traveling wave with special properties to modified KdV and BKdV equations is proved. Nonlinear terms in the equations are defined by means of a function f of an unknown u satisfying some conditions.