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Volumn 54, Issue 3, 1996, Pages 423-443

Non-classical diffusion equations related to birth-death processes with two boundaries

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; DIFFUSION; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; HEAT TRANSFER; PROBABILITY;

EID: 0030242862     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1402403     Document Type: Article
Times cited : (3)

References (14)
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    • Baccelli, F.1    Fayolle, G.2
  • 2
    • 5344277385 scopus 로고
    • Analysis of transient behaviour of certain processes with return to a central state
    • P. G. Buckholtz, L. L. Campbell, R. D. Milbourne, and M. T. Wasan, Analysis of transient behaviour of certain processes with return to a central state, J. Appl. Probab. 20, 61-70 (1983)
    • (1983) J. Appl. Probab. , vol.20 , pp. 61-70
    • Buckholtz, P.G.1    Campbell, L.L.2    Milbourne, R.D.3    Wasan, M.T.4
  • 3
    • 84988084025 scopus 로고
    • Transient analysis of birth-death processes with two boundaries
    • L. L. Campbell, Transient analysis of birth-death processes with two boundaries, Canad. J. Stat. 13, 123-130 (1985)
    • (1985) Canad. J. Stat. , vol.13 , pp. 123-130
    • Campbell, L.L.1
  • 4
    • 0003311898 scopus 로고
    • The one-dimensional heat equation
    • Addison-Wesley, Reading, MA
    • J. R. Cannon, The one-dimensional heat equation, Encyclopedia of Mathematics and its Appl., vol. 23. Addison-Wesley, Reading, MA, 1984
    • (1984) Encyclopedia of Mathematics and Its Appl. , vol.23
    • Cannon, J.R.1
  • 5
    • 0019625031 scopus 로고
    • A diffusion approximation for bulk queues
    • S. Chaimsiri and M. S. Leonard, A diffusion approximation for bulk queues, Management Sci. 27, 1188-1199 (1981)
    • (1981) Management Sci. , vol.27 , pp. 1188-1199
    • Chaimsiri, S.1    Leonard, M.S.2
  • 6
    • 84968488156 scopus 로고
    • General boundary conditions for an ordinary linear differential system
    • R. H. Cole, General boundary conditions for an ordinary linear differential system, Trans. Amer. Math. Soc. 111, 521-550 (1964)
    • (1964) Trans. Amer. Math. Soc. , vol.111 , pp. 521-550
    • Cole, R.H.1
  • 7
    • 0020544005 scopus 로고
    • A decreasing property of solutions of parabolic equations with applications to thermoelasticity
    • W. A. Day, A decreasing property of solutions of parabolic equations with applications to thermoelasticity, Quart. Appl. Math. 41, 468-475 (1983)
    • (1983) Quart. Appl. Math. , vol.41 , pp. 468-475
    • Day, W.A.1
  • 8
    • 0001254093 scopus 로고
    • The parabolic differential equations and the associated semi-group of transformations
    • W. Feller, The parabolic differential equations and the associated semi-group of transformations, Ann. Math. 55, 468-519 (1952)
    • (1952) Ann. Math. , vol.55 , pp. 468-519
    • Feller, W.1
  • 9
    • 84966207705 scopus 로고
    • Diffusion processes in one dimension
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  • 10
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  • 11
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    • Diffusion approximations
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  • 14
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    • Expansion problems of ordinary linear differential equations with auxiliary conditions at more than two points
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.