Method of Singular Integral Equations in Application to Problems of the Theory of Elasticity

2016 ◽  
pp. 1-56
Author(s):  
Mykhaylo P. Savruk ◽  
Andrzej Kazberuk
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Theory Of Elasticity

scholarly journals CUBIC MECHANICAL METHOD FOR THE NONLINEAR SYSTEM OF SINGULAR INTEGRAL EQUATIONS

1990 ◽  
Vol 21 (3) ◽  
pp. 201-209
Author(s):  
R. P. Eissa ◽  
M. M. Gad
Keyword(s):  
Approximate Solution ◽  
Nonlinear System ◽  
Integral Equations ◽  
Nonlinear Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Original System ◽  
Theory Of Elasticity ◽  
Discrete Operator ◽  
Mechanical Method

Many applied problems in the theory of elasticity can be reduced to the solution of singular integral equations either linear or nonlinear. In this paper we shall study a nonlinear system of singular integral equations which appear on the closed Lipanouv surface in an ideal medium [4]. We shall find a cubic mechanical method which corresponds to the system and prove its convergence; we obtained a discrete operator which corresponds to this system and study its properties and then a solution to the resulting system of the nonlinear equations which leads to an approximate solution for the original system and its convergence.

scholarly journals APPLICATION OF SINGULAR INTEGRAL EQUATIONS IN SOLVING SOME CONTACT PROBLEMS IN THEORY OF ELASTICITY

2019 ◽  
Vol 1 (1) ◽  
pp. 46-55
Author(s):  
V. Gavdzinski ◽  
◽  
M. El–Sheikh ◽  
E. Maltseva ◽  
◽  
...  
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Singular Integral Equations ◽  
Contact Problems ◽  
Theory Of Elasticity

SOLUTION TO THE MODEL PROBLEM OF EXCITATION OF LOADED CONIC SLOT ANTENNA BY METHOD OF SINGULAR INTEGRAL EQUATIONS

2016 ◽  
Vol 75 (20) ◽  
pp. 1799-1812
Author(s):  
V. A. Doroshenko ◽  
S.N. Ievleva ◽  
N.P. Klimova ◽  
A. S. Nechiporenko ◽  
A. A. Strelnitsky
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Model Problem ◽  
Singular Integral Equations ◽  
Slot Antenna
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