Multiple positive doubly periodic solutions for a singular semipositone telegraph equation with a parameter

Explicit multiple singular periodic solutions and singular soliton solutions to KdV equation

 Based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the Korteweg-de Vries (KdV) equation are first constructed by the known Darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude d...

Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence

Multiple Positive Solutions of a Singular Semipositone Integral Boundary Value Problem for Fractional q-Derivatives Equation

and Applied Analysis 3 The q-integral of a function f defined in the interval [0, b] is given by

Positive periodic solutions of singular systems with a parameter

Article history: Received 23 October 2007 Revised 1 July 2008 Available online 15 September 2010 MSC: 34C25 37J45 34B16

Uniqueness and Parameter Dependence of Positive Doubly Periodic Solutions of Nonlinear Telegraph Equations

The authors study a type of second order nonlinear telegraph equation. The existence and uniqueness of positive doubly periodic solutions are discussed. The parametric dependence of the solutions is also investigated. Two examples are given as applications of the results.