In this paper, we make certain continuity and disconjugacy assumptions upon the second order boundary value problem with nonlocal integral boundary conditions, y \u27\u27 = f (x, y, y\u27), Y(x(1)) = y(1), and y(x(2)) + integral(d)(c) ry(x)dx, a \u3c x(1) \u3c c \u3c d \u3c x(2) \u3c b, y(1), y(2), r is an element of R. Then, supposing we have a solution, y(x), of the boundary value problem, we differentiate the solution with respect to various boundary parameters. We show that the resulting function solves the associated variational equation of y(x)
Necessary and sufficient conditions for the existence of integral variational principles for boundar...
Solutions of the difference equation w(m + 2) = f (m,w(m),w(m + 1)) satisfy-ing w(m1) − w(m2) = w...
Abstract In this paper, we develop the existence theory for nonlinear second-order ordinary differen...
In this paper, we make certain continuity and disconjugacy assumptions upon the second order boundar...
AbstractExistence and uniqueness criteria are established for the solution of the equation u″ = p1(t...
We discuss differentiation of solutions to the boundary value problem y(n) = ƒ (x, y, y′, y′′, …, y(...
With certain continuity and disconjugacy assumptions, solutions of the discrete boundary value probl...
AbstractIn this article, we study an nth dimensional nonlocal boundary value problem for a second or...
AbstractUnder certain conditions, solutions of the boundary value problem, y″=f(x,y,y′), y(x1)=y1, a...
In this dissertation, we investigate boundary data smoothness for solutions of nonlocal boundary va...
In this paper, we discuss differentiation of solutions to the boundary value problem $y^{(n)} = f(x,...
This paper is devoted to the study of the existence and uniqueness of solutions for th order differe...
We study the second order nonlinear boundary value problems with non‐local integral conditions and c...
Using a few conditions, continuous dependence, and a result regarding smoothness of initial conditio...
In this paper we present some existence and uniqueness results for solutions of second order boundar...
Necessary and sufficient conditions for the existence of integral variational principles for boundar...
Solutions of the difference equation w(m + 2) = f (m,w(m),w(m + 1)) satisfy-ing w(m1) − w(m2) = w...
Abstract In this paper, we develop the existence theory for nonlinear second-order ordinary differen...
In this paper, we make certain continuity and disconjugacy assumptions upon the second order boundar...
AbstractExistence and uniqueness criteria are established for the solution of the equation u″ = p1(t...
We discuss differentiation of solutions to the boundary value problem y(n) = ƒ (x, y, y′, y′′, …, y(...
With certain continuity and disconjugacy assumptions, solutions of the discrete boundary value probl...
AbstractIn this article, we study an nth dimensional nonlocal boundary value problem for a second or...
AbstractUnder certain conditions, solutions of the boundary value problem, y″=f(x,y,y′), y(x1)=y1, a...
In this dissertation, we investigate boundary data smoothness for solutions of nonlocal boundary va...
In this paper, we discuss differentiation of solutions to the boundary value problem $y^{(n)} = f(x,...
This paper is devoted to the study of the existence and uniqueness of solutions for th order differe...
We study the second order nonlinear boundary value problems with non‐local integral conditions and c...
Using a few conditions, continuous dependence, and a result regarding smoothness of initial conditio...
In this paper we present some existence and uniqueness results for solutions of second order boundar...
Necessary and sufficient conditions for the existence of integral variational principles for boundar...
Solutions of the difference equation w(m + 2) = f (m,w(m),w(m + 1)) satisfy-ing w(m1) − w(m2) = w...
Abstract In this paper, we develop the existence theory for nonlinear second-order ordinary differen...