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120626s2012 si b 001 0 eng d |
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|a 2011278915
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|a 9789814324021
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|a 9814324027
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|a (OCoLC)ocn782288598
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|a lccopycat
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4 |
|a 515.352
|2 23
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1 |
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|a Kurzweil, Jaroslav.
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| 245 |
1 |
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|a Generalized ordinary differential equations :
|b not absolutely continuous solutions /
|c Jaroslav Kurzweil.
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| 260 |
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|a Singapore ;
|a Hackensack, N.J. :
|b World Scientific,
|c c2012.
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| 300 |
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|a ix, 197 p. ;
|c 24 cm.
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| 490 |
1 |
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|a Series in real analysis ;
|v v. 11
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| 504 |
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|a Includes bibliographical references (p. 193-194) and index.
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|a 1. Introduction -- 2. Kapitza's pendulum and a related problem -- 3. Elementary methods: averaging -- 4. Elementary methods: internal resonance -- 5. Strong Riemann-integration of functions of a pair of coupled variables -- 6. Generalized ordinary differential equations: strong Riemann-solutions (concepts) -- 7. Functions [psi]₁, [psi]₂ -- 8. Strong Riemann-solutions of generalized differential equations: a survey -- 9. Approximate solutions: boundedness -- 10. Approximate solutions: a Lipschitz condition -- 11. Approximate solutions: convergence -- 12. Solutions -- 13. Continuous dependence -- 14. Strong Kurzweil Henstock-integration of functions of a pair of coupled variables -- 15. Generalized differential equations: strong Kurzweil Henstock-solutions -- 16. Uniqueness -- 17. Differential equations in classical form -- 18. On a class of differential equations in classical form -- 19. Integration and strong integration -- 20. A class of strong Kurzweil Henstock-integrable functions -- 21. Integration by parts -- 22. A variant of Gronwall inequality -- 23. Existence of solutions of a class of generalized ordinary differential equations -- 24. A convergence process as a source of discontinuities in the theory of differential equations -- 25. A class of strong Riemann-integrable functions -- 26. On equality of two integrals -- 27. A class of generalized ordinary differential equations with a restricted right hand side -- Appendix A. Some elementary results -- Appendix B. Trifles from functional analysis.
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| 650 |
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|a Differential equations.
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| 650 |
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|a Integral equations.
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| 942 |
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|c BK
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| 830 |
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|a Series in real analysis ;
|v v. 11.
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| 906 |
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|a 7
|b cbc
|c copycat
|d 2
|e ncip
|f 20
|g y-gencatlg
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|b hh12 2014-06-09 z-processor to USAN Mono for cataloging
|i hh12 2014-06-24 to CALM
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|b xe10 2012-06-26 z-processor to USPL
|a th83 2012-06-27 to USPL/STM
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|p MAT5996
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|y BK
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