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Forced Oscillation Criteria for Nonlinear Hyperbolic Equations via Riccati Method
Shoukaku, Yutaka Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.1
In this paper, we consider the nonlinear hyperbolic equations with forcing term. Some suffcient conditions for the oscillation are derived by using integral averaging method and a generalized Riccati technique.
Oscillation Criteria for a Class of Parabolic Equations with Functional Arguments
Yutaka Shoukaku,Kusuo Kobayashi,Norio Yoshida 경북대학교 자연과학대학 수학과 2003 Kyungpook mathematical journal Vol.43 No.2
Parabolic equations with functional arguments are studied, and sufficient conditions are obtained for the oscillation of solutions of nonlinear parabolic equations. Our approach is to reduce the multi-dimensional problem to a one-dimensional problem for sublinear functional differential inequalities.