SOLVABILITY OF A CLASS OF N -TH ORDER LINEAR FOCAL PROBLEMS

Positive solutions of $n$th-order $m$-point boundary value problems

‎In this paper‎, ‎by using four functionals fixed point theorem‎, ‎we obtain sufficient conditions for the existence of‎ ‎at least one positive solution of an $n$th-order $m$-point boundary value problem‎. ‎As an application‎, ‎we give an example to demonstrate our main result.

ON AN EFFECTIVE CRITERION OF SOLVABILITY OF BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATION OF n-TH ORDER

New sufficient conditions for the existence of a solution of the boundary value problem for an ordinary differential equation of n-th order with certain functional boundary conditions are constructed by a method of a priori estimates. Introduction In this paper we give new sufficient conditions for the existence of a solution of the ordinary differential equation (1) u(t) = f ( t, u(t), . . . ,...

On one class of solvable boundary value problems for ordinary differential equation of n-th order

New sufficient conditions of the existence and uniqueness of the solution of a boundary problem for an ordinary differential equation of n-th order with certain functional boundary conditions are constructed by the method of a priori estimates.

On the Global Solvability of a Class of Fourth-Order Nonlinear Boundary Value Problems

In this paper we prove the global solvability of a class of fourth-order nonlinear boundary value problems that govern the deformation of a Hollomon’s power-law plastic beam subject to an axial compression and nonlinear lateral constrains. For certain ranges of the acting axial compression force, the solvability of the equations follows from the monotonicity of the fourth order nonlinear differ...

Explicit ABS Solution of a Class of Linear Inequality Systems and LP Problems