scholarly journals Oscillation of Linear Second Order Matrix Differential Equations

1998 ◽  
Vol 221 (1) ◽  
pp. 287-305 ◽  
Author(s):  
N. Parhi ◽  
P. Praharaj
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Order Matrix ◽  
Matrix Differential Equations ◽  
Matrix Differential

Oscillation results for second order matrix differential equations with damping

Filomat ◽  
2017 ◽  
Vol 31 (15) ◽  
pp. 4749-4762
Author(s):  
Yasemin Başcı ◽  
Aydın Tiryaki
Keyword(s):  
Differential Equations ◽  
Linear Functional ◽  
Second Order ◽  
Riccati Technique ◽  
Oscillation Criteria ◽  
Positive Linear Functional ◽  
Order Matrix ◽  
Matrix Differential Equations ◽  
Matrix Differential

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)?(X(t))K(X'(t)))' + p(t)R(t)?(X(t))K(X'(t)) + Q(t)F(X'(t))G(X(t)) = 0,t ? t0 > 0. The results improve and generalize those given in some previous papers.

scholarly journals Oscillation of nonlinear second order matrix differential equations

2007 ◽  
Vol 57 (5) ◽  
Author(s):  
N. Parhi ◽  
P. Praharaj
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Order Matrix ◽  
Matrix Differential Equations ◽  
Matrix Differential

AbstractIn this paper, sufficient conditions are obtained for oscillation of all nontrivial, prepared, symmetric solutions of a class of nonlinear second order matrix differential equations of the form $$(P(t)Y')' + Q(t)F(Y) = 0, t \geqslant 0,$$ and $$Y'' + Q(t)F(Y) = 0, t \geqslant 0.$$

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