Nonlinear second-order boundary value problems: Intervals of existence, uniqueness and continuous dependence

Existence and uniqueness of solutions for p-laplacian fractional order boundary value problems

In this paper, we study sufficient conditions for existence and uniqueness of solutions of three point boundary vale problem for p-Laplacian fractional order differential equations. We use Schauder's fixed point theorem for existence of solutions and concavity of the operator for uniqueness of solution. We include some examples to show the applicability of our results.

A Second-Order Boundary Value Problem with Nonlinear and Mixed Boundary Conditions: Existence, Uniqueness, and Approximation

and Applied Analysis 3 In BVP 1.4 – 1.6 , it can be found that the boundary condition 1.5 is dependent on all the x a , x b , x′ a , and x′ b terms. First, existence and uniqueness of solutions of BVP 1.4 – 1.6 is established by combining the method of upper and lower solutions with LeraySchauder degree theory. Then, the general quasilinearization method is applied to construct the approximatio...

Existence and Local Uniqueness for Nonlinear Lidstone Boundary Value Problems

Higher order upper and lower solutions are used to establish the existence and local uniqueness of solutions to y = f(t, y, y′′, . . . , y(2n−2)), satisfying boundary conditions of the form gi(y(0), y(2i−2)(1))−y(2i−2)(0) = 0, hi(y(0), y(2i−2)(1))−y(2i−2)(0) = 0, 1 ≤ i ≤ n.

Nonlinear second-order multivalued boundary value problems

In this paper we study nonlinear second-order differential inclusions involving the ordinary vector p-Laplacian, a multivalued maximal monotone operator and nonlinear multivalued boundary conditions. Our framework is general and unifying and incorporates gradient systems, evolutionary variational inequalities and the classical boundary value problems, namely the Dirichlet, the Neumann and the p...

Existence and Uniqueness of Solutions for Singular Higher Order Continuous and Discrete Boundary Value Problems