Abstract
In this paper, the unique existence of generalized solutions to periodic boundary value problems for a class of systems of nonlinear equations with $x$-dependent coefficients is discussed under a resonance condition. The argument presented makes use of the global inverse theorem and Galerkin's method.
Citation
Wei Shi. Kai Liu. "Periodic solutions to nonlinear wave equations with $x$-dependent coefficients at resonance." Rocky Mountain J. Math. 48 (4) 1291 - 1306, 2018. https://doi.org/10.1216/RMJ-2018-48-4-1291
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