Huynh Ba Lan; Le Thai Thanh; Nguyen Thanh Long; Nguyen Thuan Bang; Tran Luu Cuong; Trinh Ngoc Minh On the nonlinear vibrations equation with a coefficient containing an integral. (English. Russian original) Zbl 0816.35089 Comput. Math. Math. Phys. 33, No. 9, 1171-1178 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 9, 1324-1332 (1993). Summary: The existence and uniqueness of a global solution of a quasilinear hyperbolic equation in which there is a coefficient containing the integral of the gradient of the required function are proved. The coefficient is a non-negative and continuous function. Cited in 2 Documents MSC: 35L70 Second-order nonlinear hyperbolic equations 35A05 General existence and uniqueness theorems (PDE) (MSC2000) 35L20 Initial-boundary value problems for second-order hyperbolic equations Keywords:nonlocal nonlinearity PDFBibTeX XMLCite \textit{Huynh Ba Lan} et al., Comput. Math. Math. Phys. 33, No. 9, 1324--1332 (1993; Zbl 0816.35089); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 9, 1324--1332 (1993)