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On One Class of Spatial Nonlocal Problems for Some Hyperbolic Equations
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G. Avalishvili
Published/Copyright:
February 23, 2010
Abstract
This paper deals with nonclassical initial boundary value problems for string oscillation and telegraph equations. Algorithms for a direct construction of solutions are proposed. The existence and uniqueness of a solution of a nonlocal boundary value problem is proved in the case of a general one-dimensional hyperbolic equation.
Key words and phrases:: One-dimensional hyperbolic equation; constructing of regular solutions; nonlocal conditions
Received: 1999-11-10
Revised: 2000-07-12
Published Online: 2010-02-23
Published in Print: 2000-September
© Heldermann Verlag
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Keywords for this article
One-dimensional hyperbolic equation;
constructing of regular solutions;
nonlocal conditions
Articles in the same Issue
- Functions of Generalized Wiener Classes BV (p(n) ↑ ∞, ϕ) and their Fourier Coefficients
- On One Class of Spatial Nonlocal Problems for Some Hyperbolic Equations
- The Basic Mixed Plane Boundary Value Problem of Statics in the Elastic Mixture Theory
- Boundary Problems of Thermopiezoelectricity in Domains with Cuspidal Edges
- Colimits in the Crossed Modules Category in Lie Algebras
- On Some (Hp,q, Lp,q)-Type Maximal Inequalities with Respect to the Walsh–Paley System
- Upper and Lower Solutions of Boundary Value Problems for Functional Differential Equations and Theorems on Functional Differential Inequalities
- Boundary Value Problems of Bending of A Plate for an Infinite Doubly-Connected Domain Bounded by Broken Lines
- Some Fixed Point Theorems in Metrically Convex Spaces
- Weak Type Maximal Inequality and the Rate of Growth of Integral Means
- On the Number of Representations of Positive Integers by Some Quadratic Forms in Fourteen Variables
- On the (C, –1 < α < 0)-Summability of Series with Respect to Block-Orthonormal Systems
- Oscillation of the Riemann–Weber Version of Euler Differential Equations with Delay
- Upper and Lower Solutions Method for A System of Higher Order Difference Equations
