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Nonlinear Analysis, Theory, Methods and Applications
Volumn 30, Issue 2, 1997, Pages 923-933
Characterizing the blow-up solutions for nonlinear volterra integral equations
Author keywords

Asymptotic analysis; Blow up solutions; Nonlinear volterra integral equations; Parseval's formula for Mellin transforms
Indexed keywords

EID: 0040984138     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00355-6     Document Type: Article
Times cited : (10)
References (11)
  • 2
    • 0025442951 scopus 로고
    • The role of critical exponents in blow-up theorems
    • Levine H. A., The Role of Critical Exponents in Blow-up Theorems, SIAM Rev. 32, 262-288 (1990).
    • (1990) SIAM Rev. , vol.32 , pp. 262-288
    • Levine, H.A.1
  • 3
    • 0040133458 scopus 로고
    • Asymptotic solution to a class of nonlinear volterra integral equations
    • Olmstead W. E. & Handelsman R. A., Asymptotic Solution to a Class of Nonlinear Volterra Integral Equations, SIAM J. appl. Math. 22, 373-384 (1976).
    • (1976) SIAM J. Appl. Math. , vol.22 , pp. 373-384
    • Olmstead, W.E.1    Handelsman, R.A.2
  • 4
    • 0016881753 scopus 로고
    • Asymptotic solution to a class of nonlinear volterra integral equations II
    • Olmstead W. E. & Handelsman R. A., Asymptotic Solution to a Class of Nonlinear Volterra Integral Equations II, SIAM J. appl. Math. 30, 180-189 (1976).
    • (1976) SIAM J. Appl. Math. , vol.30 , pp. 180-189
    • Olmstead, W.E.1    Handelsman, R.A.2
  • 5
    • 85033105863 scopus 로고    scopus 로고
    • The one-dimensional heat equation with a nonlocal initial condition
    • in press
    • Olmstead W. E. & Roberts C. A., The One-Dimensional Heat Equation with a Nonlocal Initial Condition, Appl. math. Letters, in press.
    • Appl. Math. Letters
    • Olmstead, W.E.1    Roberts, C.A.2
  • 6
    • 0007294102 scopus 로고    scopus 로고
    • Explosion in a diffusive strip due to a source with local and nonlocal features
    • Olmstead W. E. & Roberts C. A., Explosion in a Diffusive Strip Due to a Source with Local and Nonlocal Features, Methods appl. Anal., 3, 345-357 (1996).
    • (1996) Methods Appl. Anal. , vol.3 , pp. 345-357
    • Olmstead, W.E.1    Roberts, C.A.2
  • 7
    • 0001324528 scopus 로고
    • Explosion in a diffusive strip due to a concentrated nonlinear source
    • Olmstead W. E. & Roberts C. A., Explosion in a Diffusive Strip due to a Concentrated Nonlinear Source, Methods appl. Anal., 1, 434-445 (1994).
    • (1994) Methods Appl. Anal. , vol.1 , pp. 434-445
    • Olmstead, W.E.1    Roberts, C.A.2
  • 8
    • 0002183950 scopus 로고
    • Coupled volterra equations with blow-up solutions
    • Olmstead W. E., Roberts C. A. & Deng K., Coupled Volterra Equations with Blow-up Solutions, J. Int. eqns. Appl., 7, 449-516 (1995).
    • (1995) J. Int. Eqns. Appl. , vol.7 , pp. 449-516
    • Olmstead, W.E.1    Roberts, C.A.2    Deng, K.3
  • 10
    • 0001591638 scopus 로고
    • Volterra equations which model explosion in a diffusive medium
    • Roberts C. A., Lasseigne D. G. & Olmstead W. E., Volterra Equations which Model Explosion in a Diffusive Medium, J. Int. eqns. Appl., 5, 531-546 (1993).
    • (1993) J. Int. Eqns. Appl. , vol.5 , pp. 531-546
    • Roberts, C.A.1    Lasseigne, D.G.2    Olmstead, W.E.3
  • 11
    • 0001074918 scopus 로고    scopus 로고
    • Growth rates for blow-up solutions of nonlinear volterra equations
    • Roberts C. A. & Olmstead W. E., Growth Rates for Blow-up Solutions of Nonlinear Volterra Equations, Q. Appl. Math., 54, 153-159 (1996).
    • (1996) Q. Appl. Math. , vol.54 , pp. 153-159
    • Roberts, C.A.1    Olmstead, W.E.2

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.