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Boundary perturbed problem for reaction diffusion time delay equation with two parameters

  • Mathematics
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Wuhan University Journal of Natural Sciences

Abstract

The singular perturbation problem for reaction diffusion time delay equation with boundary perturbation is considered. Firstly, the outer solution for the initial boundary value problem is constructed. Then, the initial and boundary layer correction terms are obtained using the stretched variables transforms. Finally, the asymptotic behavior of solution for the initial boundary value problem is studied.

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References

  1. de Jager E M, Jiang F R. The Theory of Singular Perturbation[M]. Amsterdam: North-Holland Publishing Co, 1996.

    Google Scholar 

  2. Barbu L, Morosanu G. Singularly Perturbed Boundary-Value Problems[M]. Basel: Birkhauserm Verlag AG, 2007.

    Google Scholar 

  3. Ei S I, Matsuzawa H. The motion of a transition layer for a bistable reaction diffusion equation with heterogeneous environment[J]. Discrete Contin Dyn Syst, 2010, 26 (3): 910–921.

    Google Scholar 

  4. Deng S B. Mixed interior and boundary bubbling solutions for Neumann problem in R2[J]. J Differ Equations, 2012, 253(2): 727–763.

    Article  Google Scholar 

  5. Suzuki R. Asymptotic behavior of solutions of a semilinear heat equation with localized reaction[J]. Adv Differ Eqns, 2010, 15 (3–4): 283–314.

    Google Scholar 

  6. Mo J Q. Singular perturbation for a class of nonlinear reaction diffusion systems[J]. Science in China, Ser A, 1989, 32 (11): 1306–1315.

    Google Scholar 

  7. Mo J Q. Homotopic mapping solving method for gain fluency of laser pulse amplifier[J]. Science in China, Ser G, 2009, 39 (5): 568–661.

    Google Scholar 

  8. Mo J Q. Singularly perturbed solution of boundary value problem for nonlinear equations of fourth order with parameters[J]. Adv in Math, 2010, 39(6): 736–740.

    Google Scholar 

  9. Mo J Q. Generalized variational iteration solution of soliton for disturbed KdV equation[J]. Commun Theor Phys, 2010, 53 (3): 440–442.

    Article  Google Scholar 

  10. Mo J Q, Chen X F. Homotopic mapping method of solitary wave solutions for generalized complex Burgers equation[J]. Chin Phys B, 2010, 19(10): 16–19.

    Google Scholar 

  11. Mo J Q, Lin Y H, Lin W T, et al. Perturbed solving method for interdecadal sea-air oscillator model[J]. Chin Geogr Sci, 2012, 22 (1): 42–47.

    Article  Google Scholar 

  12. Shi L F, Lin W T, Lin Y H, et al. Approximate method of solving solitary-like wave for a class of nonlinear equation[J]. Acta Phys Sin, 2013, 62 (1): 010201 (Ch).

    Google Scholar 

  13. Han X L, Zhao Z J, Cheng R J, et al. Solution of transfers model of femtosecond pulse Laser for NANO metal film[J]. Acta Phys Sin, 2013, 62 (11): 110202 (Ch).

    Google Scholar 

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Correspondence to Jiaqi Mo.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (11202106), the Natural Science Foundation of the Education Department of Anhui Province(KJ2014A151) and the Natural Sciences Foundation from the Universities of Jiangsu Province (13KJB170016)

Biography: XU Yonghong, female, Professor, research direction: applied mathematics.

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Xu, Y., Shi, L. & Mo, J. Boundary perturbed problem for reaction diffusion time delay equation with two parameters. Wuhan Univ. J. Nat. Sci. 20, 93–96 (2015). https://doi.org/10.1007/s11859-015-1064-2

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  • DOI: https://doi.org/10.1007/s11859-015-1064-2

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