Nontrivial solutions for a boundary value problem with integral boundary conditions

Fuzzy Solutions for Boundary Value Problems with Integral Boundary Conditions

The Banach fixed point theorem is used to investigate the existence and uniquenness of fuzzy solutions for a class of second order nonlinear boundary value problems with integral boundary conditions.

Multiple positive solutions for a second-order boundary value problem with integral boundary conditions

where α and β are nonnegative constants. Boundary value problems of ordinary differential equations arise in kinds of different areas of applied mathematics and physics. Many authors have studied two-point, threepoint, multi-point boundary value problems for second-order differential equations extensively, see [–] and the references therein. In recent years, boundary value problems with integ...

Nontrivial solutions for a fractional boundary value problem

where α ∈ (, ], f : [, ]×R→R (R := (–∞, +∞)) is continuous. In view of a fractional differential equation’s modeling capabilities in engineering, science, economy and other fields, the last few decades have resulted in a rapid development of the theory of fractional differential equation; see the books [–]. This may explain the reason why the last few decades have witnessed an overgrowing...

Second-Order Boundary Value Problem with Integral Boundary Conditions

Positive Solutions of a Boundary Value Problem with Integral Boundary Conditions

We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ∗, λ∗ so that some nonlinear differential equations, with nonlocal boundary conditions of integral type, have two positive solutions for all λ with μ∗ < λ < λ∗.