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A class of singularly perturbed initial boundary value problems for nonlinear reaction diffusion equations with two parameters are considered. Under suitable conditions, the asymptotic expansion of the solution is constructed and the asymptotic behaviors of the solution are discussed.
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Keywords:
- nonlinearity /
- two parameters /
- singular perturbation
[1] Guarguaglini F R, Natalini R 2007 Partial Diff. Eqns. 32 163
[2] Shao S 2007 Nonlinear Anal. Theory Methods Appl. 66 A 271
[3] Ni W M,Wei J C 2006 J. Diff. Eqns. 221 158
[4] Khasminskii R Z, Yin G 2005 J. Diff. Eqns. 212 85
[5] Marques I 2005 Nonlinear Anal. 61 21
[6] Bobkova A S 2005 Diff. Eqns. 41 23
[7] Sagon G 2008 Nonlinearity 21 1183
[8] Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392
[9] Mo J Q 1993 J. Math. Anal. Appl. 178 289
[10] Mo J Q 1989 Sci. Chin. Ser. A 32 1306
[11] Mo J Q, Lin W T 2006 Acta Math. Appl. Sin. 22 277
[12] Mo J Q, Tang R R 2007 Acta Math. Sci. 27 296
[13] Mo J Q, Shao S 2001 Adv. Math. 30 141
[14] Mo J Q, Lin W T 2008 J. Sys. Sci. & Complexity 20 119
[15] Mo J Q, Wang H 2007 Acta Ecologica Sinica 27 4366
[16] Mo J Q, Zhu J, Wang H 2008 Prog. Natl. Sci. 18 768
[17] Mo J Q 2009 Chin. Phys. Lett. 26 060202
[18] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[19] Mo J Q, Zhang W J, He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [莫嘉琪、 张伟江、 何 铭 2007 物理学报 56 1843]
[20] Mo J Q, Zhang W J, Chen X F 2007 Acta Phys. Sin. 56 6169 (in Chinese) [莫嘉琪、 张伟江、 陈贤峰 2007 物理学报 56 6169]
[21] Mo J Q, Cheng Y 2009 Acta Phys. Sin. 584379 (in Chinese) [莫嘉琪、程 燕 2009 物理学报 58 4379]
[22] Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [莫嘉琪、 张伟江、 何 铭 2006 物理学报 55 3233]
[23] Mo J Q 2009 Sci. Chin.Ser. G 52 1007
[24] Mo J Q, Lin W T, Wang H 2008 Chin. Geographical Sci. 18 193
[25] Mo J Q, Lin W T, Wang H 2007 Prog. Natl. Sci. 17 230
[26] Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [莫嘉琪、 林万涛、 林一骅 2007 物理学报 56 3127]
[27] Mo J Q, Wang H, Lin W T, Lin Y H 2006 Chin. Phys. 15 671
[28] Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[29] Mo J Q, Lin W T 2008 Acta Phys. Sin. 576689 (in Chinese) [莫嘉琪、 林万涛 2008物理学报 57 6689]
[30] Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[31] Mo J Q, Lin W T 2008 Chin. Phys. B17 743
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[1] Guarguaglini F R, Natalini R 2007 Partial Diff. Eqns. 32 163
[2] Shao S 2007 Nonlinear Anal. Theory Methods Appl. 66 A 271
[3] Ni W M,Wei J C 2006 J. Diff. Eqns. 221 158
[4] Khasminskii R Z, Yin G 2005 J. Diff. Eqns. 212 85
[5] Marques I 2005 Nonlinear Anal. 61 21
[6] Bobkova A S 2005 Diff. Eqns. 41 23
[7] Sagon G 2008 Nonlinearity 21 1183
[8] Barbu L, Cosma E 2009 J. Math. Anal. Appl. 351 392
[9] Mo J Q 1993 J. Math. Anal. Appl. 178 289
[10] Mo J Q 1989 Sci. Chin. Ser. A 32 1306
[11] Mo J Q, Lin W T 2006 Acta Math. Appl. Sin. 22 277
[12] Mo J Q, Tang R R 2007 Acta Math. Sci. 27 296
[13] Mo J Q, Shao S 2001 Adv. Math. 30 141
[14] Mo J Q, Lin W T 2008 J. Sys. Sci. & Complexity 20 119
[15] Mo J Q, Wang H 2007 Acta Ecologica Sinica 27 4366
[16] Mo J Q, Zhu J, Wang H 2008 Prog. Natl. Sci. 18 768
[17] Mo J Q 2009 Chin. Phys. Lett. 26 060202
[18] Mo J Q 2009 Chin. Phys. Lett. 26 010204
[19] Mo J Q, Zhang W J, He M 2007 Acta Phys. Sin. 56 1843 (in Chinese) [莫嘉琪、 张伟江、 何 铭 2007 物理学报 56 1843]
[20] Mo J Q, Zhang W J, Chen X F 2007 Acta Phys. Sin. 56 6169 (in Chinese) [莫嘉琪、 张伟江、 陈贤峰 2007 物理学报 56 6169]
[21] Mo J Q, Cheng Y 2009 Acta Phys. Sin. 584379 (in Chinese) [莫嘉琪、程 燕 2009 物理学报 58 4379]
[22] Mo J Q, Zhang W J, He M 2006 Acta Phys. Sin. 55 3233 (in Chinese) [莫嘉琪、 张伟江、 何 铭 2006 物理学报 55 3233]
[23] Mo J Q 2009 Sci. Chin.Ser. G 52 1007
[24] Mo J Q, Lin W T, Wang H 2008 Chin. Geographical Sci. 18 193
[25] Mo J Q, Lin W T, Wang H 2007 Prog. Natl. Sci. 17 230
[26] Mo J Q, Lin W T, Lin Y H 2007 Acta Phys. Sin. 56 3127 (in Chinese) [莫嘉琪、 林万涛、 林一骅 2007 物理学报 56 3127]
[27] Mo J Q, Wang H, Lin W T, Lin Y H 2006 Chin. Phys. 15 671
[28] Mo J Q, Lin W T, Wang H 2007 Chin. Phys. 16 951
[29] Mo J Q, Lin W T 2008 Acta Phys. Sin. 576689 (in Chinese) [莫嘉琪、 林万涛 2008物理学报 57 6689]
[30] Mo J Q, Lin W T 2008 Chin. Phys. B 17 370
[31] Mo J Q, Lin W T 2008 Chin. Phys. B17 743
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