Lyapunov-type inequality for a class of quasilinear systems

• Published in: Mathematical and computer modelling Vol. 53; no. 5-6; pp. 1162 - 1166
• Main Authors: Yang, Xiaojing, Kim, Yong-In, Lo, Kueiming
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.03.2011; Elsevier
• Subjects: Dirichlet boundary value problem; Exact sciences and technology; Lyapunov-type inequality; Mathematical analysis; Mathematics; Methods of scientific computing (including symbolic computation, algebraic computation); Numerical analysis; Numerical analysis. Scientific computation; Ordinary differential equations; Partial differential equations, boundary value problems; Quasilinear system; Sciences and techniques of general use; Quasilinear system; Dirichlet boundary value problem; Lyapunov-type inequality; Second order equation; Differential equation; Differential system; Partial differential equation; Numerical analysis; Boundary value problem; Applied mathematics; Nonlinearity; Dirichlet problem; Mathematical model; Computer aided analysis
• ISSN: 0895-7177; 1872-9479
• DOI: 10.1016/j.mcm.2010.11.083

We give a generalization of the Lyapunov-type inequality for the second-order quasilinear differential equations given in De Nápoli and Pinasco (2006) [9] to a class of quasilinear differential systems of dimension n. The generalization is carried out in such a way that more general nonlinearities are allowed in our system than those in [9]. The results of this paper generalize some earlier results on this topic.