scholarly journals NONCLASSICAL EQUATIONS OF MATHEMATICAL PHYSICS. LINEAR SOBOLEV TYPE EQUATIONS OF HIGHER ORDER

2016 ◽  
Vol 8 (4) ◽  
pp. 5-16 ◽  
Author(s):  
A.A. Zamyshlyaeva ◽  
◽  
G.A. Sviridyuk ◽  
Keyword(s):  
Mathematical Physics ◽  
Higher Order ◽  
Sobolev Type ◽  
Equations Of Mathematical Physics

scholarly journals Numerical investigation of thegeneralized Hoff model

2017 ◽  
Vol 21 (6) ◽  
pp. 93-97
Author(s):  
N.A. Manakova ◽  
K.V. Vasyuchkova
Keyword(s):  
Numerical Investigation ◽  
Type Equation ◽  
Mathematical Physics ◽  
Constant Load ◽  
Sobolev Type ◽  
Equations Of Mathematical Physics ◽  
Hoff Equation ◽  
Theoretical Results ◽  
Sobolev Type Equation ◽  
Vast Area

The work is devoted to the numerical investigation of the generalized Hoff model. Hoff equation models the dynamics of buckling construction of I-beams under a constant load. Result of existence and uniqueness of solution to the Showalter - Sidorov problem for the investigated model is formulated. This equation is a semilinear Sobolev type equation. Sobolev type equations constitute a vast area of non-classical equations of mathematical physics. Based on the theoretical results there was developed the algorithm of numerical solution of the problem.

The phase spaces of a class of linear higher-order Sobolev type equations

2006 ◽  
Vol 42 (2) ◽  
pp. 269-278 ◽  
Author(s):  
G. A. Sviridyuk ◽  
A. A. Zamyshlyaeva
Keyword(s):  
Higher Order ◽  
Sobolev Type
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