Sentence examples for boundary value problems appear from inspiring English sources
Multi-point boundary value problems appear in wave propagation and in elastic stability.
It should be noted that antiperiodic boundary value problems appear in physics in a variety of situations [33, 34].
The aim of this paper is to explore the method of lower and upper solutions in order to give some existence of solutions for equations of the form y^{(4)}(x)+ k_{1}+k_{2}) y"(x)+k_{1}k_{2} y(x)=fbigl x,y(x bigr), quad xin 0,1), (1.1) with the Navier condition y(0) = y(1) = y"(0) = y"(1) = 0. (1.2) Such boundary value problems appear, as it is well known [1 3], in the theory of hinged beams.
A class of integral boundary value problems appeared in different areas of applied mathematics and physics.
Multi-point nonlocal boundary value problems appears widely in many important scientific phenomena like in elastic stability and in wave propagation.
One-parameter imbedding techniques are used to solve a standard nonlinear boundary value problem appearing in reaction engineering.
Asaithambi and Garner [8] presented a numerical technique for obtaining pointwise bounds for the solution of a class of nonlinear boundary-value problems appearing in physiology.
Fractional boundary value problems (FBVPs) appear in many of these applications.
Recently, some existence results for fractional boundary value problem have appeared in the literature (see, e.g., [15 17]).
Fractional differential equations and boundary value problems involving fractional derivatives appear in many applied problems ranging from the spring-pot model [2] to geology [3] or from nonlinear circuits [4] to alternative models to differential equations [5].
