Regular solutions to initial-boundary value problems in a half-strip for two-dimensional Zakharov–Kuznetsov equation

Approximating Initial-Value Problems with Two-Point Boundary-Value Problems: BBM-Equation

approximating initial-value problems with two-point boundary-value problems: bbm-equation

Positive Solutions for Boundary Value Problems on a Half Line

In this paper, we consider the multiplicity of positive solutions for one-dimensional p-laplacian differential equation on the half line. By using fixed point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions.

Solutions of initial and boundary value problems via F-contraction mappings in metric-like space

We present sufficient conditions for the existence of solutions of second-order two-point boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate...

Linearizable Initial-Boundary Value Problems for the sine-Gordon Equation on the Half-Line

A rigorous methodology for the analysis of initial boundary value problems on the half-line, 0 < x < ∞, t > 0, for integrable nonlinear evolution PDEs has recently appeared in the literature. As an application of this methodology the solution q(x, t) of the sine-Gordon equation can be obtained in terms of the solution of a 2× 2 matrix Riemann-Hilbert problem. This problem is formulated in the c...