Work

Necessary and sufficient conditions for global‐in‐time existence of solutions of ordinary, stochastic, and parabolic differential equations

Year: 2006

Type: article

Abstract: We derive necessary and sufficient conditions for global-in-time existence of solutions of ordinary differential, stochastic differential, and parabolic equations. The conditions are formulated in terms of complete Riemannian metrics on extended phase spaces (conditions with two-sided estimates) or in terms of derivatives of proper functions on extended phase spaces (conditions with one-sided estimates).

Source: Abstract and Applied Analysis

DOI: 10.1155/aaa/2006/39786

Author: Yuri E. Gliklikh

Institution: Voronezh State University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,130

Funder: Russian Foundation for Basic Research