| Title:
|
On two-points boundary value problems for ordinary nonlinear differential equations of the fourth order in the Colombeau algebra (English) |
| Author:
|
Ligęza, Jan |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
41 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
89-103 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34B15 |
| MSC:
|
46F30 |
| idZBL:
|
Zbl 1040.34026 |
| idMR:
|
MR1968223 |
| . |
| Date available:
|
2009-01-29T16:02:30Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120443 |
| . |
| Reference:
|
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| Reference:
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[2] Aftabizadeh A. R.: Existence and uniqueness theorem for fourth-order boundary value problems.J. Math. Anal. Appl. 116 (1986), 415-426. MR 0842808 |
| Reference:
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[3] Colombeau J. F.: Elementary Introduction to New Generalized Functions.North Holland, Amsterdam-New York-Oxford, 1985. Zbl 0584.46024, MR 0808961 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[10] Kiguradze I. T.: Boundary value problems for systems of ordinary differential equations.In: Itogi Nauki Tekh., Ser. Sovremennie Problemi Matematiki 30 (1987), 3-103 (in Russian). Zbl 0782.34025 |
| Reference:
|
[11] Ligęza J.: Weak solution of ordinary differential equations.Prace Nauk. U. Sl. w Katowicach, vol. 842, 1986. MR 0868863 |
| Reference:
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[12] Ligęza J.: On a two point boundary value problem for linear differential equations of the fourth order in the Colomeau algebra.Annal. Math. Silesianae 15 (2001), 45-66. MR 1896013 |
| Reference:
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[13] Ligęza J.: Remarks on generalized solutions of ordinary linear differential equations in the Colombeau algebra.Math. Bohemica 123 (1998), 301-316. MR 1645454 |
| Reference:
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[14] Persson J.: The Cauchy system for linear distribution differential equations.Funkcial Ekvac. 30 (1987), 162-168. MR 0915270 |
| Reference:
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[15] Przybycin J.: Existence and uniqueness for fourth-order boundary value problems.Annal. Polon. Math. 67 (1997), 59-64. MR 1455427 |
| Reference:
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[16] Samojlenko A. M., Perestjuk N. A.: Differential equations with impulsive action.Kijev State University, 1980 (in Russian). |
| Reference:
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[17] Usmani R. A.: A uniqueness theorem for a boundary value problem.Proc. Amer. Math. Soc. 77 (1979), 329-335. Zbl 0424.34019, MR 0545591 |
| Reference:
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[18] Schwabik Š.: Generalized Ordinary Differential Equations.World Sientific, Singapore, 1992. Zbl 0781.34003, MR 1200241 |
| Reference:
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[19] Tvrdý M.: Generalized differential equations in the space of regulated functions (Boundary value problems and controllability).Math. Bohemica 116 (1991), 225-244. Zbl 0744.34021, MR 1126445 |
| Reference:
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[20] Yang Y.: Fourth-order two-point boundary value problems.Proc. Amer. Mat. Soc. 104 (1988), 175-180. Zbl 0671.34016, MR 0958062 |
| Reference:
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[21] Zavalishchin S. G., Sesekin A. N.: Impulse Processes, Models and Applications.Nauka, Moscow, 1991 (in Russian). MR 1126685 |
| . |
