OSCILLATION RESULTS FOR SECOND ORDER MATRIX DIFFERENTIAL EQUATIONS WITH DAMPING
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DOI: 10.2298/fil1715749b
Abstract: By using the positive linear functional, including the general means and Riccati technique, some new oscillation criteria are established for the second order matrix differential equations\\ $$ (r(t)P(t)\psi(X(t))K(X'(t)))'+p(t)R(t)\psi(X(t))K(X'(t)) $$ $$ +Q(t)F(X'(t))G(X(t))=0,t\geq t_{0}>0. $$\\ The results… read more here.
Keywords: order matrix; second order; matrix differential; oscillation ... See more keywords
Higher-Order Matrix Spectral Problems and Their Integrable Hamiltonian Hierarchies
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DOI: 10.3390/math11081794
Abstract: Starting from a kind of higher-order matrix spectral problems, we generate integrable Hamiltonian hierarchies through the zero-curvature formulation. To guarantee the Liouville integrability of the obtained hierarchies, the trace identity is used to establish their… read more here.
Keywords: hamiltonian hierarchies; matrix spectral; higher order; integrable hamiltonian ... See more keywords