On a fredholm partial integro-differential equation of fourth order with degenerate kernel
T. K. Yuldashev O. V. Novoselov1
| Annotation | It is studying the one value solvability of the mixed value problem for a nonlinear partial Fredholm integro-differential equation of the fourth order with degenerate kernel. First, it is modified to the case of partial Fredholm integro-differential equations of the fourth order the method of degenerate kernel designed for Fredholm integral equations of the second kind. After solving the system of algebraic equations it is obtained by the aid of integration the Volterra integral equation of the second kind. Further it is used the method of successive approximations combined it with the method of compressing maps. |
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| Keywords | Initial value problem, integro-differential equation, Fredholm equation with degenerate kernel, system of algebraic equations, one valued solvability. |
1Associate professor of Higher Mathematics Chair, M. F. Reshetnev Siberian State Aerospace University, Krasnoyarsk, tursunbay@rambler.ru
2Associate professor of Higher Mathematics Chair, M. F. Reshetnev Siberian State Aerospace University, Krasnoyarsk
Citation: T. K. Yuldashev O. V. Novoselov, "[On a fredholm partial integro-differential equation of fourth order with degenerate kernel]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,17:1 (2015) 128–134 (In Russian)
