Registration Number
0213U002788,
0112U001205
, R & D reports
Title
Analytical and approximate methods for solving boundary value problems for differential equations in bounded and unbounded domains
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Head
Kalenyuk Petro Ivanovych, Доктор фізико-математичних наук
Registration Date
07-02-2013
Organization
Lviv Polytechnic National University
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We investigate the Cauchy problem for quasilinear equations, degenerate on the initial hyperplane, parabolic by Eidelman main part; study a nonlocal boundary-value problem for a differential equation with generalized differentiation operator in a complex plane; we establish the conditions of solvability of the problems ant evaluate small denominators arising when constructing the solution; construct two-sided Runge-Kutta formulas for finding an approximate solution of the Cauchy problem for nonlinear differential equations; we investigateaggregation-iterative algorithm for nonlinear operator equations; obtaine sufficient conditions for the convergence of the methods for iterative aggregating and their generalizations. The research has been carried out by means of the monotonicity method, the compactness method, the metrical approach to the studying of small denominators, the isomorphism of spaces. We use the aggregation-iterative methods, the two-sided iterative methods. The results have been implemented while developing some special courses for students of the universities as well as for mathematical modelling the important physical processes in nonhomogeneous media.
Product Description
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Іванець Надія Андріївна
Івасик Галина Володимирівна
Ільків Володимир Степанович
Артемюк Василь Юрійович
Баранецький Ярослав Омелянович
Бобик Ігор Омелянович
Бродяк Оксана Ярославівна
Демків Ігор Іванович
Дяченко Ірина Іванівна
Каленюк Петро Іванович
Мединський Ігор Павлович
Нитребич Зіновій Миколайович
Обшта Анатолій Феліксович
Пелех Роман Ярославович
Пелех Ярослав Миколайович
Пукач Петро Ярославович
Сохан Петро Львович
Шувар Богдан Антонович
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2020-04-02
