Non-Volterra First-Order Test for the Preservation of Solvability of a Controlled Hammerstein-Type Equation

Author:

Chernov A. V.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference14 articles.

1. Chernov, A.V., On the totally global solvability of a controlled Hammerstein-type equation with a varied linear operator, Vestn. Udmurt. Gos. Univ. Mat. Mekh. Komp’yut. Nauki, 2015, vol. 25, no. 2, pp. 230–243.

2. Chernov, A.V., On the structure of a solution set of controlled initial-boundary value problems, Russ. Math., 2016, vol. 60, no. 2, pp. 62–71.

3. Chernov, A.V., A majorant criterion of the first order for the total preservation of global solvability of a controlled Hammerstein-type equation, Vestn. Tambov Gos. Univ. im. G.R. Derzhavina. Ser. Estestv. Tekh. Nauki, 2015, vol. 20, no. 5, pp. 1526–1529.

4. Chernov, A.V., A generalization of Bihari’s lemma to the case of Volterra operators in Lebesgue spaces, Math. Notes, 2013, vol. 94, no. 5, pp. 703–714.

5. Birkhoff, G., Lattice Theory, Providence, Rhode Island: Am. Math. Soc., 1967. Translated under the title: Teoriya reshetok, Moscow: Nauka, 1984.

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1. On totally global solvability of evolutionary Volterra equation of the second kind;Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki;2022-12

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