Geodesic
Matrix systems of differential equations with the quasimonotonicity condition
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2000), pp. 35-45.

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A. I. Malikov. Matrix systems of differential equations with the quasimonotonicity condition. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2000), pp. 35-45. https://geodesic-test.mathdoc.fr/item/IVM_2000_8_a4/

[1] Matrosov V. M., Anapolskii L. Yu., Vasilev S. N., Metod sravneniya v matematicheskoi teorii sistem, Nauka, Novosibirsk, 1980, 481 pp.

[2] Matrosov V. M., Vasilev S. N., Karatuev V. G. i dr., Algoritmy vyvoda teorem metoda vektornykh funktsii Lyapunova, Nauka, Novosibirsk, 1981, 271 pp.

[3] Voronov A. A., Matrosov V. M., Metod vektornykh funktsii Lyapunova v teorii ustoichivosti, Nauka, M., 1987, 309 pp. | MR

[4] Kozlov R. I., “Otsenki reshenii i ustoichivost sistem sravneniya”, Teoriya ustoichivosti i ee prilozh., Nauka, Novosibirsk, 1979, 38–49

[5] Obolenskii A. Yu., “Ob ustoichivosti reshenii avtonomnykh sistem sravneniya”, DAN USSR, 1979, no. 8, 607–611 | MR

[6] Lakshmikantham V., Leela S., “Cone valued Lyapunov functions and large scale systems”, AACC Proc. Joint Autom. Control Conf. (Denver, Colo, 1979), N.Y., 1979, 113–116

[7] Lakshmikantham V., Leela S., “Cone valued Lyapunov functions”, Nonlinear Anal., 1977, no. 1, 215–222 | DOI | MR | Zbl

[8] Malikov A. I., “Otsenki reshenii nelineinykh sistem sravneniya”, Dinamika nelineinykh sistem, Nauka, Novosibirsk, 1983, 49–57 | MR

[9] Sabaev E. F., Matrichnye sistemy sravneniya i ikh prilozhenie v dinamike reaktorov, Atomizdat, M., 1980, 192 pp.

[10] Krein S. G., Funktsionalnyi analiz, 2-e izd., Nauka, M., 1972, 544 pp. | MR | Zbl

[11] Krasnoselskii M. A., Lifshits E. A., Sobolev A. V., Polozhitelnye lineinye sistemy. Metod polozhitelnykh operatorov, Nauka, M., 1985, 256 pp. | MR

[12] Filippov A. F., Differentsialnye uravneniya s razryvnoi pravoi chastyu, Nauka, M., 1985, 224 pp. | MR

[13] Uonem U. M., Lineinye mnogomernye sistemy upravleniya. Geometricheskii podkhod, Nauka, M., 1980, 375 pp. | MR

[14] Volkmann P., “Gewöhnliche Differentialgleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen”, Math. Z., 127:2 (1972), 157–164 | DOI | MR | Zbl

[15] Deimling K., Lakshmikantham V., “On existence of extremal solutions of differential equations in Banach spaces”, Nonlinear Anal.: Theory, Meth. Applic., 3:5 (1979), 563–568 | DOI | MR | Zbl

[16] Eisenfeld J., Lakshmikantham V., “Differential inequalities and flow invariance via linear functionals”, J. Math. Anal. and Applic., 69:1 (1979), 104–114 | DOI | MR | Zbl

[17] Martynyuk A. A., Lakshmikantam V., Lila S., Ustoichivost dvizheniya: metod integralnykh neravenstv, Nauk. dumka, Kiev, 1989, 272 pp. | MR

[18] Lankaster P., Teoriya matrits, Nauka, M., 1978, 280 pp. | MR