S. A. Kashchenko, “Spatial heterogeneous structures in the simplest models with delay and diffusion”, Mat. Model., 2:9 (1990), 49

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Matematicheskoe modelirovanie, 1990, Volume 2, Number 9, Pages 49–69 (Mi mm2451)

This article is cited in 11 scientific papers (total in 11 papers)

Mathematical models of phenomena and processes

Spatial heterogeneous structures in the simplest models with delay and diffusion

S. A. Kashchenko

P. G. Demidov Yaroslavl State University

Full-text PDF (2546 kB) Citations (11)

Abstract: On the basis of special method of asymptotic analysis the steady regimes of differential-difference equations with diffusion are investigated. Existance is established and asymptotic is constructed for spatial-heterogeneous regimes of a complex relaxating structure. Important role of small coefficients of diffusion is exposed.

Received: 19.02.1990

Bibliographic databases:

UDC: 517.929

Language: Russian

Citation: S. A. Kashchenko, “Spatial heterogeneous structures in the simplest models with delay and diffusion”, Mat. Model., 2:9 (1990), 49–69

Citation in format AMSBIB

\Bibitem{Kas90}

\by S.~A.~Kashchenko

\paper Spatial heterogeneous structures in the simplest models with delay and diffusion

\jour Mat. Model.

\yr 1990

\vol 2

\issue 9

\pages 49--69

\mathnet{http://mi.mathnet.ru/mm2451}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1123426}

\zmath{https://zbmath.org/?q=an:0974.92505}

Linking options:

https://www.mathnet.ru/eng/mm2451

https://www.mathnet.ru/eng/mm/v2/i9/p49

This publication is cited in the following 11 articles:

S. V. Aleshin, D. S. Glyzin, S. A. Kaschenko, “Wave propagation in the Kolmogorov–Petrovsky–Piscounov–Fisher equation with delay”, Theoret. and Math. Phys., 220:3 (2024), 1411–1428
S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “A self-symmetric cycle in a system of two diffusely connected Hutchinson's equations”, Sb. Math., 210:2 (2019), 184–233
S. A. Kashchenko, “Homogenization over the spatial variable in nonlinear parabolic systems”, Trans. Moscow Math. Soc., 80 (2019), 53–71
S. V. Aleshin, S. D. Glyzin, S. A. Kaschenko, “Uravnenie Kolmogorova–Petrovskogo–Piskunova s zapazdyvaniem”, Model. i analiz inform. sistem, 22:2 (2015), 304–321
S. V. Aleshin, S. D. Glyzin, S. A. Kaschenko, “Osobennosti dinamiki uravneniya Kolmogorova–Petrovskogo–Piskunova s otkloneniem po prostranstvennoi peremennoi”, Model. i analiz inform. sistem, 22:5 (2015), 609–628
S. A. Kaschenko, V. E. Frolov, “Asimptotika ustanovivshikhsya rezhimov konechno-raznostnykh approksimatsii logisticheskogo uravneniya s zapazdyvaniem i s maloi diffuziei”, Model. i analiz inform. sistem, 21:1 (2014), 94–114
D. S. Glyzin, S. A. Kashchenko, “Spatially distributed control of the dynamics of the logistic delay equation”, Comput. Math. Math. Phys., 54:6 (2014), 963–976
S. A. Kaschenko, “Asimptotika reshenii obobschennogo uravneniya Khatchinsona”, Model. i analiz inform. sistem, 19:3 (2012), 32–61
D. S. Glyzin, S. A. Kaschenko, A. S. Polstyanov, “Prostranstvenno-neodnorodnye periodicheskie resheniya uravneniya Khatchinsona s raspredelennym nasyscheniem”, Model. i analiz inform. sistem, 18:1 (2011), 37–45
S. D. Glyzin, S. A. Kaschenko, A. S. Polstyanov, “Prostranstvenno-neodnorodnye periodicheskie resheniya v raspredelennom uravnenii Khatchinsona”, Model. i analiz inform. sistem, 16:4 (2009), 77–85
D. S. Kashchenko, “Local and nonlocal cycles in a second-order equation with delayed feedback”, Russian Math. (Iz. VUZ), 43:7 (1999), 10–20

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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