Using the Schauder fixed point theorem we establish the solvability of an initial-boundary va-lue problem for a nonlinear first order system of composite type. The procedure depends on first establishing a priori estimates for the solutions. This investigation generalizes the results of [1,3,4].
Cite this article
Leroy R. Lundin, Guochun Wen, Integral and Boundary Value Problems for Nonlinear Systems of Composite Type. Z. Anal. Anwend. 12 (1993), no. 2, pp. 343–352DOI 10.4171/ZAA/561