Boundary value problem with integral conditions for a linear third-order equation

Boundary Value Problem with Integral Conditions for a Linear Third-order Equation

Second-Order Boundary Value Problem with Integral Boundary Conditions

Successive iteration and positive solutions for a third-order boundary value problem involving integral conditions

*Correspondence: [email protected] 1College of Science, China Agricultural University, Beijing, 100083, China Full list of author information is available at the end of the article Abstract This paper investigates the existence of concave positive solutions and establishes corresponding iterative schemes for a third-order boundary value problem with Riemann-Stieltjes integral boundary conditions....

Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

Approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. In this paper with central difference approximation and Newton Cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. Three...

SOME BOUNDARY VALUE PROBLEMS FOR A NON-LINEAR THIRD ORDER O.D.E.

Existence of periodic solutions for non-linear third order autonomous differential equation (O.D.E.) has not been investigated to as large an extent as non-linear second order. The popular Poincare-Bendixon theorem applicable to second order equation is not valid for third order equation (see [3]). This conclusion opens a way for further investigation.