Note on hyperbolic partial differential equations

Bogdan Rzepecki

Mathematica Slovaca (1981)

  • Volume: 31, Issue: 3, page 243-250
  • ISSN: 0232-0525

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Rzepecki, Bogdan. "Note on hyperbolic partial differential equations." Mathematica Slovaca 31.3 (1981): 243-250. <http://eudml.org/doc/32292>.

@article{Rzepecki1981,
author = {Rzepecki, Bogdan},
journal = {Mathematica Slovaca},
keywords = {successive approximation},
language = {eng},
number = {3},
pages = {243-250},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Note on hyperbolic partial differential equations},
url = {http://eudml.org/doc/32292},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Rzepecki, Bogdan
TI - Note on hyperbolic partial differential equations
JO - Mathematica Slovaca
PY - 1981
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 31
IS - 3
SP - 243
EP - 250
LA - eng
KW - successive approximation
UR - http://eudml.org/doc/32292
ER -

References

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  2. BIELECKI A., Une remarque sur l'application de la méthode de Banach-Cacciopoli-Tikhonov dans la théorie de l'équation s=f(x, y, z, p, q), Bull. Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys. 4, 1956, 256-268. (1956) 
  3. ĎURIKOVlČ V., On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type uxy - f(x, y, u, ux, uy), Spisy přírodov. fak. Univ. J. E. Purkyně v Brně 4, 1968, 223-236. (1968) 
  4. ĎURIKOVlČ V., On the existence and the uniqueness of solutions and on the convergence of successive approximations in the Darboux problem for certain differential equations of the type u x 1 x n = f ( x 1 , , x n , u , , u x l 1 x l j , ) , Čas. pro pěstov. mat. 95, 1970, 178-195. (1970) MR0450758
  5. ĎURIKOVlČ V., On the uniqueness of solutions and on the convergence of successive approximations for certain initial problems of equations of the higher orders, Mat. Čas. 20, 1970, 214-224. (1970) MR0352668
  6. ĎURIKOVIČ V., The convergence of successive approximations for boundary value problems of hyperbolic equations in the Banach space, Mat. Čas. 21, 1971, 33-54. (1971) Zbl0209.12302MR0355387
  7. KOOI O., Existentie-, eenduidigheids- en convergrntie stellingen in de theore der gewone differentiaal vergelijkingen, Thesis V. U., Amsterdam 1956. (1956) 
  8. KURATOWSKI C., Topologie. V. I, Warszawa 1952. (1952) 
  9. LUXEMBURG W. A. J., On the convergence of successive approximations in the theory of ordinary differential equations II, Indag. Math. 20, 1958, 540-546. (1958) Zbl0084.07703MR0124554
  10. LUXEMBURG W. A. J., On the convergence of successive approximations in the theory of ordinary differential equations III, Nieuw Archief Vor Wiskunde 6, 1958, 93-98. (1958) Zbl0085.30201MR0124555
  11. PALCZEWSKI B., PAWELSKI W., Some remarks on the uniqueness of solutions of the Darboux problem with conditions of the Krasnosielski-Krein type, Ann. Polon. Math. 14. 1964, 97-100. (1964) Zbl0132.07208MR0161013
  12. ROSENBLATT A., Über die Existenz von Integralen gewöhnlichen Differentialgleichungen, Archiv for Mathem. Astr. och Fysik 5(2), 1909, 1-4. (1909) 
  13. RZEPECKI B., On the Banach principle and its application to the theory of differential equations, Comm. Math. 19, 1977, 355-363. (1977) Zbl0355.34001MR0478124
  14. RZEPECKI B., Remarks in connection with a paper of S. CZERWIK "On a differential equation with deviating argument", Comm. Math. 22 (to appear). Zbl0483.34046MR0577690
  15. RZEPECKI B., A generalization of Banach's contraction theorem, Bull. Acad. Polon. Sci., Ser. Sci. Math. Astronom. Phys. 26 (to appear). Zbl0421.47032MR0515618
  16. RZEPECKI B., On some classes of differential equations, Publ. Inst. Math, (to appear). Zbl0415.34055MR0542839
  17. WONG J. S. W., On the convergence of successive approximations in the Darboux problem, Ann. Polon. Math. 17, 1966, 329-336. (1966) Zbl0144.13704MR0188579

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