THE THEORY OF TWO-DIMENSIONAL INTEGRAL EQUATIONS OF VOLTERRA TYPE WITH BOUNDARY SINGULAR AND STRONGLI - SINGULAR LINES, WHEN THE ROOTS OF THE CHARACTERISTIC EQUATIONS ARE REAI AND DIFFERENT

2021 ◽  
pp. 78-89
Author(s):  
Lutfiya Nusratovna Rajabova ◽  
Farvariddin Mufazalovich Ahmadov
Keyword(s):  
Integral Equations ◽  
Two Dimensional ◽  
Volterra Type ◽  
Characteristic Equations ◽  
Dimensional Integral

scholarly journals Solving two-dimensional integral equations

2011 ◽  
Vol 23 (1) ◽  
pp. 111-114 ◽  
Author(s):  
F. Bazrafshan ◽  
A.H. Mahbobi ◽  
A. Neyrameh ◽  
A. Sousaraie ◽  
M. Ebrahimi
Keyword(s):  
Integral Equations ◽  
Two Dimensional ◽  
Dimensional Integral

On a class of two-dimensional adjoint integral equations of Volterra type

2011 ◽  
Vol 47 (9) ◽  
pp. 1333-1343 ◽  
Author(s):  
L. Radzhabova ◽  
N. Radzhabov ◽  
O. A. Repin
Keyword(s):  
Integral Equations ◽  
Two Dimensional ◽  
Volterra Type

scholarly journals Applications of one- and two-dimensional Volterra inequalities in differential equations of the hyperbolic type

2003 ◽  
Vol 2003 (53) ◽  
pp. 3373-3383
Author(s):  
Lechosław Hącia
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Value Problems ◽  
Hyperbolic Type ◽  
Integral Inequalities ◽  
Two Dimensional ◽  
Volterra Type ◽  
One Dimensional ◽  
Dimensional Integral ◽  
Hyperbolic Differential Equations

Some variants of one-dimensional and two-dimensional integral inequalities of the Volterra type are applied to study the behaviour properties of the solutions to various boundary value problems for partial differential equations of the hyperbolic type. Moreover, new types of integral inequalities for one and two variables, being a generalization of the Gronwall inequality, are presented and used in the theory of nonlinear hyperbolic differential equations.

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