Certain remarks to integral equations generated by the numerical-analytical method for solution of the boundary problems

  • M. Kwapisz The Gdansk Univ., Poland
Keywords: -

Abstract

In the paper the comparison method and the chosing of the appropriate norm of the comparison operator is used to establish the solvability of the integral-functional equation resulted by the application of the numeric-analytic method of solving of boundary value problems for ordinary differential-delay equations of the neutral type.

References

Samoilenko A. M., Ronto N. I. Numerical-analytic methods of investigating of periodic solutions (Russian).— Kiev: Vyssha Sk., 1976.— 180 p.

Samoilenko А. M., Ronto N. I. Numerical-analytic methods of investigating boundary value problems (Russian).— Kiev: Nauk. Dumka, 1986.— 224 p.

Augustynowicz A., Kwapis M. On a numerical-analitic method of solving of boundary value problem for functional biffrential equation of neutral type// Math. Nachr.— 1990.— 145.— P. 255—269.

Kwapisz M. A comparison theorem on the existence and uniqueness of the solution of an integral-functional equation//YII Int. Konf. uder Nichtlineare Schwingungen, Abhand-lungeni der Adw.— Berlin: Akab.-Verl., 1977.— P. 481—487.

Kwapisz M. On the comparison method in the existence and uniqueness theory for equations in spaces of functions (Russian) // Differential equations with deviated argument.— Kiev: Nauk. Dumka, 1977.— P. 148—158.

Kwapisz M. Some remarks on abstract form of iterative methods in functional equation theory // Comment. Math.— 1984.— 24.— P. 281—294.

Samoilenko A. M.., Ronto N. I. A modification of numerical-analytic method of successive approximations for boundary value problems for ordinary differential equations (Russian) // Ukr. Math. J.— 1990,— 42, N 8,— P. 1107—1116.

Published
04.02.1992
How to Cite
KwapiszM. “Certain Remarks to Integral Equations Generated by the Numerical-Analytical Method for Solution of the Boundary Problems”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 44, no. 1, Feb. 1992, pp. 128-32, https://umj.imath.kiev.ua/index.php/umj/article/view/7803.
Section
Short communications