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generalized linear ordinary differential equations; fundamental matrix; adjoint equation; continuous dependence on a parameter; emphatic convergence
The problem of continuous dependence for inverses of fundamental matrices in the case when uniform convergence is violated is presented here.
[A] Ashordia M.: On the correctness of linear boundary value problems for systems of generalized ordinary differential equations. Proceedings of the Georgian Academy of Sciences, Math. 1, 4 (1993), 385–394. MR 1262572 | Zbl 0797.34015
[K1] Kurzweil J.: Generalized ordinary differential equations and continuous dependence on a parameter. Czech. Math. J. 7 (82) (1957), 418–449. MR 0111875 | Zbl 0090.30002
[K2] Kurzweil J.: Generalized ordinary differential equations. Czech. Math. J. 24 (83) (1958), 360–387. MR 0111878 | Zbl 0102.07003
[S] Schwabik Š.: Generalized Ordinary Differential Equations. : World Scientific, Singapore. 1992. MR 1200241
[STV] Schwabik Š., Tvrdý M., Vejvoda O.: Differential, Integral Equations: Boundary Value Problems, Adjoints. : Academia and D. Reidel, Praha and Dordrecht. 1979. MR 0542283
[ST] Schwabik Š., Tvrdý M.: Boundary value problems for generalized linear differential equations. Czech. Math. J. 29 (104) (1979), 451–477. MR 0536070
[T1] Tvrdý M.: Differential and integral equations in the space of regulated functions. In: Memoirs on Differential Equations and Mathematical Physics, vol. 25, 2002, 1–104. MR 1903190 | Zbl 1081.34504
[T2] Tvrdý M.: Stieltjesův integrál. Učební text [online, cited 22. 6. 2005],
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