Riemann-Stieltjes Integral Boundary Conditions Research Articles

Existence of Positive Solution for Semipositone Fractional Differential Equations Involving Riemann‐Stieltjes Integral Conditions

The existence of at least one positive solution is established for a class of semipositone fractional differential equations with Riemann‐Stieltjes integral boundary condition. The technical approach is mainly based on the fixed‐point theory in a cone.

Positive solutions for singular Sturm-Liouville boundary value problems with integral boundary conditions

In this paper, we study the second-order nonlinear singular Sturm-Liouville boundary value problems with Riemann-Stieltjes integral boundary conditions     −(p(t)u ' (t)) ' +q(t)u(t) = f(t,u(t)), 0 < t < 1, �1u(0) −�1u ' (0) = R 1 0 u(�)d�(�), where f(t,u) is allowed to be singular at t = 0,1 and u = 0. Some new results for the existence of positive solutions of the boundary value problems are obtained. Our results extend some known results from the nonsingular case to the singular case, and we also improve and extend some results of the singular cases.

Circadian temporal adaptation and the perception of time

In this article, the existence of solutions for a coupled system of functional integro-differential equations with nonlocal infinite-point and Riemann-Stieltjes integral boundary conditions will be proved. And study the continuous dependence of the solution.

Machinery and mechanical appliances

In this article, the existence of solutions for a coupled system of functional integro-differential equations with nonlocal infinite-point and Riemann-Stieltjes integral boundary conditions will be proved. And study the continuous dependence of the solution.