Displaying similar documents to “Differential Equations in Abstract Cones”

On a differential-algebraic problem

Anita Dąbrowicz-Tlałka, Tadeusz Jankowski (2000)

Applications of Mathematics

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The method of quasilinearization is a procedure for obtaining approximate solutions of differential equations. In this paper, this technique is applied to a differential-algebraic problem. Under some natural assumptions, monotone sequences converge quadratically to a unique solution of our problem.

Extended Real-Valued Double Sequence and Its Convergence

Noboru Endou (2015)

Formalized Mathematics

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In this article we introduce the convergence of extended realvalued double sequences [16], [17]. It is similar to our previous articles [15], [10]. In addition, we also prove Fatou’s lemma and the monotone convergence theorem for double sequences.

Plurisubharmonic functions on compact sets

Rafał Czyż, Lisa Hed, Håkan Persson (2012)

Annales Polonici Mathematici

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Poletsky has introduced a notion of plurisubharmonicity for functions defined on compact sets in ℂⁿ. We show that these functions can be completely characterized in terms of monotone convergence of plurisubharmonic functions defined on neighborhoods of the compact.

Existence for implicit differential equations in Banach spaces

Viorel Barbu, Angelo Favini (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We prove two existence results on abstract differential equations of the type d ⁢ B ⁢ u / d ⁢ t + A ⁢ u = f and we give some applications of them to partial differential equations.