Second-order operator equations

1979 ◽  
Vol 19 (5) ◽  
pp. 730-737 ◽  
Author(s):  
A. A. Dezin
Keyword(s):  
Second Order ◽  
Order Operator ◽  
Operator Equations

scholarly journals Formulae of partial reduction for linear systems of first order operator equations

2010 ◽  
Vol 23 (11) ◽  
pp. 1367-1371 ◽  
Author(s):  
Branko Malešević ◽  
Dragana Todorić ◽  
Ivana Jovović ◽  
Sonja Telebaković
Keyword(s):  
Linear Systems ◽  
Partial Reduction ◽  
Order Operator ◽  
Operator Equations ◽  
First Order

Abstract Lax-Phillips scattering scheme for second-order operator-differential equations

1996 ◽  
Vol 48 (4) ◽  
pp. 502-515 ◽  
Author(s):  
S. A. Kuzhel’
Keyword(s):  
Differential Equations ◽  
Second Order ◽  
Order Operator

Stability of Solutions of Differential-operator and Operator-difference Equations in the Sense of Perturbation of Operators

2006 ◽  
Vol 6 (3) ◽  
pp. 269-290 ◽  
Author(s):  
B. S. Jovanović ◽  
S. V. Lemeshevsky ◽  
P. P. Matus ◽  
P. N. Vabishchevich
Keyword(s):  
Differential Operator ◽  
Difference Equations ◽  
Hyperbolic Equations ◽  
Second Order ◽  
Difference Schemes ◽  
Order Differential Operator ◽  
Stability Of Solutions ◽  
Operator Equations ◽  
The Difference ◽  
Coefficient Stability

Abstract Estimates of stability in the sense perturbation of the operator for solving first- and second-order differential-operator equations have been obtained. For two- and three-level operator-difference schemes with weights similar estimates hold. Using the results obtained, we construct estimates of the coefficient stability for onedimensional parabolic and hyperbolic equations as well as for the difference schemes approximating the corresponding differential problems.

Cauchy problem for a degenerating second-order operator equation

1980 ◽  
Vol 20 (5) ◽  
pp. 717-722
Author(s):  
I. Y. Egorov
Keyword(s):  
Cauchy Problem ◽  
Operator Equation ◽  
Second Order ◽  
Order Operator
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