On initial-boundary value problems in bounded and unbounded domains for a class of nonlinear hyperbolic equations of the third order

[摘要] For the nonlinear hyperbolic equation u((2,1)) = f(x,t,u,u((1,0)), u((2,0)), u((0,1)), u((1,1))) problems on bounded solutions in a half strip and in a strip are studied. Unimprovable conditions of local and global solvability and unique solvability of these problems are established. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] Nonlinear hyperbolic equation;third order;bounded solution