# Hyperbolic differential equations

Xem 1-7 trên 7 kết quả Hyperbolic differential equations
• ### Fuzzy solutions for general hyperbolic partial differential equations with local initial conditions

In this paper, we study the existence and uniqueness of fuzzy solutions for general hyperbolic partial differential equations with local conditions making use of the Banach fixed point theorem. Some examples are presented to illustrate our results.

• ### Regularity of solutions of the anisotropic hyperbolic heat equation with nonregular heat sources and homogeneous boundary conditions

We study regularity properties for the solution of homogeneous boundary value problems for the anisotropic hyperbolic heat equation in the case of infinitely differentiable coefficients but irregular distributions as internal heat sources.

• ### Real Functions in One Variable - Simple Differential Equations I Calculus 1c-1

Tham khảo sách 'real functions in one variable - simple differential equations i calculus 1c-1', khoa học tự nhiên, toán học phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

• ### Transport Equations and Multi-D Hyperbolic Conservation Laws

This book collects the lecture notes of two courses and one mini-course held in a winter school in Bologna in January 2005. The aim of this school was to popularize techniques of geometric measure theory among researchers and PhD students in hyperbolic differential equations. Though initially developed in the context of the calculus of variations, many of these techniques have proved to be quite powerful for the treatment of some hyperbolic problems.

• ### Boundary conditions for hyperbolic systems of partial differentials equations

An easy-to-apply algorithm is proposed to determine the correct set(s) of boundary conditions for hyperbolic systems of partial differential equations. The proposed approach is based on the idea of the incoming/outgoing characteristics and is validated by considering two problems. The first one is the well-known Euler system of equations in gas dynamics and it proved to yield set(s) of boundary conditions consistent with the literature. The second test case corresponds to the system of equations governing the flow of viscoelastic liquids.

• ### Existence and uniqueness of solutions of some general fuzzy partial hyperbolic functional differential equations

In this paper, we investigate the existence and uniqueness of fuzzy solution for a class of general hyperbolic equations with state-dependent delays. We will prove the well-posedness of problem doesn’t depend on the domain and boundary data as well as initial data. Our method is based on Banach fixed point theorem in completely new weighted metric space.

• ### A unified krylov-bogoliubovmitropolskii method for solving hyperbolic-type nonlinear partial differential systems

The method is an extension of the unified Kry lov-Bogoliubov-Mitropolskii method , which was initially developed for un-darn ped , under-clamped and over-clamped cases of the second order ordinary different ia l equation. The methods also cover a special condition of the over-damped case in which the general solution is useless.