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Applicable Analysis
An International Journal
Volume 9, 1979 - Issue 1
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Original Articles

Asymptotic stability results for system of quasilinear parabolic equations

Pages 7-21 | Received 13 Jul 1977, Published online: 10 May 2007

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Feida Jiang, Gang Li & Jiang Zhu. (2014) On the semilinear reaction diffusion system arising from nuclear reactors. Applicable Analysis 93:12, pages 2608-2624.
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Au Vo Van. (2021) Recovering the initial distribution for a logarithmic nonlinear biparabolic equation. Mathematical Methods in the Applied Sciences 45:4, pages 1805-1826.
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Vo Van Au, Yong Zhou & Donal O’Regan. (2022) On the Well-Posedness and Blow-Up for a Semilinear Biparabolic Equation. Mediterranean Journal of Mathematics 19:1.
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Ruipeng Chen & Xiaoya Li. (2016) The steady states of a non-cooperative model arising in reactor dynamics. Computers & Mathematics with Applications 72:3, pages 594-602.
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Inmaculada Ant?n & Juli?n L?pez-G?mez. (2013) Steady states of a non-cooperative model arising in nuclear engineering. Nonlinear Analysis: Real World Applications 14:3, pages 1340-1360.
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Ruipeng Chen & Ruyun Ma. (2013) Global bifurcation of positive radial solutions for an elliptic system in reactor dynamics. Computers & Mathematics with Applications 65:8, pages 1119-1128.
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Ruipeng Chen & Ruyun Ma. (2012) Positive solutions of the second-order differential systems in reactor dynamics. Applied Mathematics and Computation 219:8, pages 3882-3892.
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Wenshu Zhou. (2010) Uniqueness and asymptotic behavior of coexistence states for a non-cooperative model of nuclear reactors. Nonlinear Analysis: Theory, Methods & Applications 72:6, pages 2816-2820.
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Julián López-Gómez. (2009) The steady states of a non-cooperative model of nuclear reactors. Journal of Differential Equations 246:1, pages 358-372.
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Gianni Arioli. (2007) Long term dynamics of a reaction?diffusion system. Journal of Differential Equations 235:1, pages 298-307.
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Mengxing He, Zhuoling Ou & Anping Liu. (2002) Comparison method of partial functional differential equations and its application. Applied Mathematics and Computation 125:2-3, pages 271-286.
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Hongwei Chen. (1997) The dynamics of a nuclear reactor model. Nonlinear Analysis: Theory, Methods & Applications 30:6, pages 3409-3416.
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Yoshio Yamada. (1993) Asymptotic behavior of solutions for semilinear volterra diffusion equations. Nonlinear Analysis: Theory, Methods & Applications 21:3, pages 227-239.
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Ling Hsiao & Piero De Mottoni. (1987) Persistence in reacting-diffusing systems: interaction of two predators and one prey. Nonlinear Analysis: Theory, Methods & Applications 11:8, pages 877-891.
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L. Hsiao, Y. Su.Z. P. Xin. (1987) On the Asymptotic Behavior of Solutions of a Reacting?Diffusing System: A two Predators?One Prey Model. SIAM Journal on Mathematical Analysis 18:3, pages 647-669.
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Sining Zheng. (1987) A reaction-diffusion system of a competitor-competitor-mutualist model. Journal of Mathematical Analysis and Applications 124:1, pages 254-280.
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Sining Zheng. (1986) A reaction-diffusion system of a predator-prey-mutualist model. Mathematical Biosciences 78:2, pages 217-245.
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C. V. Pao. (1983) Comparison and Stability of Solutions for a Neutron Transport Problem with Temperature Feedback. SIAM Journal on Mathematical Analysis 14:1, pages 167-184.
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C.V Pao. (1982) On nonlinear reaction-diffusion systems. Journal of Mathematical Analysis and Applications 87:1, pages 165-198.
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V. Lakshmikantham. 1981. Nonlinear Differential Equations. Nonlinear Differential Equations 243 258 .
A. Tesei. (1980) Stability properties for partial Volterra integrodifferential equations. Annali di Matematica Pura ed Applicata 126:1, pages 103-115.
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P. Mottoni & F. Rothe. (2015) A Singular Perturbation Analysis for a Reaction‐Diffusion System Describing Pattern Formation. Studies in Applied Mathematics 63:3, pages 227-247.
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P. De Mottoni & A. Tesei. (2006) A Comparative Analysis of Some Semi‐Linear Parabolic Systems Modelling the Dynamics of Fast Nuclear Reactors. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 60:11, pages 615-622.
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P. de Mottoni, A. Tesei & W. Eckhaus. (2011) A singular perturbation approach for a reaction diffusion system arising in nuclear reactor theory. Mathematical Methods in the Applied Sciences 2:1, pages 91-107.
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F. Rothe & P. de Morttoni. (1979) A simple system of reaction-diffusion equations describing morphogenesis: Asymptotic behavior. Annali di Matematica Pura ed Applicata 122:1, pages 141-157.
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