Comparison principles for p-Laplace equations with lower order terms

Microlocal Time Decays for Hyperbolic Equations with Lower Order Terms

In this paper we present microlocalised time-decay rates of solutions to hyperbolic equations with constant coefficients with arbitrary lower order terms. A particular attention is paid to regions with multiplicities. AMS Mathematics Subject Classification (2000): 35L30, 35L45

Title AN L^p-APPROACH TO SINGULAR LINEAR PARABOLIC EQUATIONS WITH LOWER ORDER TERMS

Fibered nonlinearities for p(x)-Laplace equations

The purpose of this paper is to give some geometric results on the following problem: −div ( α(x)|∇u(X)|p(x)−2∇u(X) ) = f(x, u(X)) in Ω, (1.1) where f = f(x, u) ∈ L∞(Rm×R) is differentiable in u with fu ∈ L∞(R), α ∈ L∞(Rm), with inf Rm α > 0, p ∈ L∞(Rm), with p(x) ≥ 2 for any x ∈ R, and Ω is an open subset of R. Here, u = u(X), with X = (x, y) ∈ R × Rn−m. As well known, the operator in (1.1) co...

Initial Value ‎P‎roblems for Fourth-Order Fuzzy Differential Equations by Fuzzy Laplace ‎‎T‎ransform

This paper is on the solutions of fuzzy initial value problems for fourth-order fuzzy differential equations with positive and negative fuzzy coefficients by fuzzy Laplace transform. Examples are solved. Conclusions are given.

Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations

  In this paper, we use modified Laplace decomposition method to solving initial value problems (IVP) of the second order ordinary differential equations. Theproposed method can be applied to linear and nonlinearproblems