Differential equations of the second order with measures as coefficients



Abstract

The note deals with differential equations of the second order with Borel measures as coefficients. The problem of existence and uniqueness of solutions is discussed. The Ritz-Galerkin method is used for determining of approximate solutions.


1. R.A. Adams, Sobolev spaces, Academic Press, Now York, San Francisco, London (1975).
2. J. Descloux, Méthode des élémentes finish, Russion edition, Moscow, Mir (1976).
3. W. Rudin, Real and Complex Analysis, McGraw Hill, Inc. Polish edition, PWN, Warsaw (1986).
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Published : 1996-09-30


KieratW., & SztabaU. (1996). Differential equations of the second order with measures as coefficients. Annales Mathematicae Silesianae, 10, 79-86. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14194

Władysław Kierat 
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland
Urszula Sztaba 
Instytut Matematyki, Uniwersytet Śląski w Katowicach  Poland



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