Invariant measures for the flow of a first order partial differential equation

A method for solving first order fuzzy differential equation

A Partial Order on ×2-invariant Measures

We introduce a partial order on the set of ×2-invariant probability measures, describing relative dispersion, and show that the minimal elements for this order are the Sturmian measures of Morse & Hedlund.

a method for solving first order fuzzy differential equation

on the goursat problem for a linear partial differential equation

in this paper, the goursat problem of a general form for a linear partial differential equation is investigated with the help of the riemann function method. some results are given concerning the existence and uniqueness for the solution of the suggested problem.

First Order Partial Differential Equations

If T⃗ denotes a vector tangent to C at t,x,u then the direction numbers of T⃗ must be a,b, f. But then (1.2) implies that T⃗ n⃗, which is to say, T⃗ lies in the tangent plane to the surface S. But if T⃗ lies in the tangent plane, then C must lie in S. Evidently, solution curves of (1.2) lie in the solution surface S associated with (1.2). Such curves are called characteristic curves for (1.2). W...