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Volumn 222, Issue 1, 1998, Pages 177-191

Riccati Techniques and Approximation for a Second-Order Poincaré Difference Equation

Author keywords

Poincar difference equation; self adjoint; Riccati techniques

Indexed keywords


EID: 0000426603     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.5925     Document Type: Article
Times cited : (6)

References (10)
  • 1
    • 38249016420 scopus 로고
    • Asymptotic linearity of solutions of self-adjoint systems of second order differential equations
    • Chen S. Asymptotic linearity of solutions of self-adjoint systems of second order differential equations. J. Math. Anal. Appl. 148:1990;509-527.
    • (1990) J. Math. Anal. Appl. , vol.148 , pp. 509-527
    • Chen, S.1
  • 2
    • 33646986849 scopus 로고
    • Asymptotic integrations of nonoscillatory second order differential equations
    • Chen S. Asymptotic integrations of nonoscillatory second order differential equations. Trans. Amer. Math. Soc. 327:1991;853-865.
    • (1991) Trans. Amer. Math. Soc. , vol.327 , pp. 853-865
    • Chen, S.1
  • 3
    • 84963087824 scopus 로고
    • Asymptotic integration of the principal solution of a second-order differential equation
    • Chen S. Asymptotic integration of the principal solution of a second-order differential equation. Bull. London Math. Soc. 23:1991;457-464.
    • (1991) Bull. London Math. Soc. , vol.23 , pp. 457-464
    • Chen, S.1
  • 4
    • 0000147486 scopus 로고
    • Riccati techniques and discrete oscillations
    • Chen S., Erbe L. H. Riccati techniques and discrete oscillations. J. Math. Anal. Appl. 142:1989;468-487.
    • (1989) J. Math. Anal. Appl. , vol.142 , pp. 468-487
    • Chen, S.1    Erbe, L.H.2
  • 5
    • 38249012653 scopus 로고
    • WKB (Liouville-Green) analysis of second order difference equations and applications
    • Geronimo J. S., Smith D. T. WKB (Liouville-Green) analysis of second order difference equations and applications. J. Approx. Theory. 69:1992;269-301.
    • (1992) J. Approx. Theory , vol.69 , pp. 269-301
    • Geronimo, J.S.1    Smith, D.T.2
  • 6
    • 0020765656 scopus 로고
    • The asymptotic estimates of solutions of Poincaré equations
    • Li Z. The asymptotic estimates of solutions of Poincaré equations. J. Math. Anal. Appl. 94:1983;181-192.
    • (1983) J. Math. Anal. Appl. , vol.94 , pp. 181-192
    • Li, Z.1
  • 7
    • 0003299638 scopus 로고
    • Volterra-Stieltjes Integral Equations and Generalized Ordinary Differential Expressions
    • New York: Springer-Verlag
    • Mingarelli A. B. Volterra-Stieltjes Integral Equations and Generalized Ordinary Differential Expressions. Lecture Notes in Math. 989:1983;Springer-Verlag, New York.
    • (1983) Lecture Notes in Math. , vol.989
    • Mingarelli, A.B.1
  • 8
    • 0001626686 scopus 로고
    • Sur les equations linéaires aux différentielles ordinaires et aux différences finies
    • Poincaré H. Sur les equations linéaires aux différentielles ordinaires et aux différences finies. Amer. J. Math. 7:1985;203-258.
    • (1985) Amer. J. Math. , vol.7 , pp. 203-258
    • Poincaré, H.1
  • 9
    • 0004584448 scopus 로고
    • WKBJ-type approximation for finite moments perturbations of the differential equationy
    • Spigler R., Vianello M. WKBJ-type approximation for finite moments perturbations of the differential equationy. J. Math. Anal. Appl. 169:1992;437-452.
    • (1992) J. Math. Anal. Appl. , vol.169 , pp. 437-452
    • Spigler, R.1    Vianello, M.2
  • 10
    • 84966248536 scopus 로고
    • Asymptotic behavior of solutions of Poincaré difference equations
    • Trench W. F. Asymptotic behavior of solutions of Poincaré difference equations. Proc. Amer. Math. Soc. 119:1993;431-438.
    • (1993) Proc. Amer. Math. Soc. , vol.119 , pp. 431-438
    • Trench, W.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.