[图书][B] Inverse and ill-posed problems: theory and applications

SI Kabanikhin - 2011 - degruyter.com
The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a
subject in which its creator takes a keen interest. The concept of ill-posed problems was …

[图书][B] Generalized Inverse Operators: And Fredholm Boundary-Value Problems

AA Boichuk, AM Samoilenko - 2016 - books.google.com
The book is devoted to the foundations of the theory of boundary-value problems for various
classes of systems of differential-operator equations whose linear part is represented by …

Representation of a solution of the Cauchy problem for an oscillating system with pure delay

DY Khusainov, J Diblík, M Růžičková, J Lukáčová - Nonlinear Oscillations, 2008 - Springer
We obtain a representation of a solution of the Cauchy problem for a linear inhomogeneous
differential equation with constant coefficients and pure delay. We use special matrix …

Boundary-value problems for systems of integro-differential equations with degenerate kernel

AM Samoilenko, OA Boichuk, SA Krivosheya - Ukrainian Mathematical …, 1996 - Springer
By using methods of the theory of generalized inverse matrices, we establish a criterion of
solvability and study the structure of the set of solutions of a general linear Noether …

Criterion of the solvability of matrix equations of the Lyapunov type

AA Boichuk, SA Krivosheya - Ukrainian Mathematical Journal, 1998 - Springer
Criterion of the solvability of matrix equations of the Lyapunov type Page 1 Ukrainian
Mathematical Journal, Vol. 50, No. 1998 CRITERION OF THE SOLVABILITY OF MATRIX …

Solution of one heat equation with delay

DY Khusainov, AF Ivanov, IV Kovarzh - Nonlinear Oscillations, 2009 - infona.pl
Solution of one heat equation with delay × Close The Infona portal uses cookies, ie strings of
text saved by a browser on the user's device. The portal can access those files and use them to …

Autonomous Noetherian boundary-value problem in the critical case

SM Chuiko, IA Boichuk - Nonlinear Oscillations, 2009 - infona.pl
We establish constructive conditions for the existence of solutions of an autonomous
Noetherian weakly nonlinear boundary-value problem for a system of ordinary differential …

[PDF][PDF] О решении матричных уравнений Ляпунова

СМ Чуйко - … університету імені ВН Каразіна. Серія: Математика …, 2014 - irbis-nbuv.gov.ua
Матричные уравнениÿ Лÿпунова широко используютсÿ в теории устойчивости
движениÿ, а также при решении дифференциальных уравнений Риккати. Если …

Boundary‐Value Problems for Weakly Nonlinear Delay Differential Systems

A Boichuk, J Diblík, D Khusainov… - Abstract and Applied …, 2011 - Wiley Online Library
Conditions are derived of the existence of solutions of nonlinear boundary‐value problems
for systems of n ordinary differential equations with constant coefficients and single delay (in …

[PDF][PDF] Solvability criterion of integro-differential equations with degenerate kernel in Banach spaces

AA Boichuk, VF Zhuravlev - Nonlin. Dynam. Syst. Theory, 2018 - e-ndst.kiev.ua
By means of the theory of generalized inversion of operators in Banach spaces, a solvability
criterion and a general form of solutions for integro-differential equations with a degenerate …