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Volumn 252, Issue 1, 2000, Pages 389-401

A retarded Gronwall-like inequality and its applications

(1)  Lipovan, Olivia a  

a NONE   (Romania)

Author keywords

Global existence; Integral inequality; Nonoscillatory solution; Retarded differential equation

Indexed keywords


EID: 0034369969     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.7085     Document Type: Article
Times cited : (139)

References (15)
  • 1
    • 0001104202 scopus 로고
    • The stability of solutions of linear differential equations
    • Bellman R. The stability of solutions of linear differential equations. Duke Math. J. 10:1943;643-647.
    • (1943) Duke Math. J. , vol.10 , pp. 643-647
    • Bellman, R.1
  • 2
    • 34250577382 scopus 로고
    • A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations
    • Bihari I. A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations. Acta Math. Acad. Sci. Hungar. 7:1956;71-94.
    • (1956) Acta Math. Acad. Sci. Hungar. , vol.7 , pp. 71-94
    • Bihari, I.1
  • 3
    • 0002407103 scopus 로고
    • Global existence of solutions for perturbed differential equations
    • Constantin A. Global existence of solutions for perturbed differential equations. Ann. Mat. Pura Appl. 168:1995;237-299.
    • (1995) Ann. Mat. Pura Appl. , vol.168 , pp. 237-299
    • Constantin, A.1
  • 5
    • 0000818240 scopus 로고
    • Existence and continuous dependence of solutions of neutral functional differential equations
    • Driver R. Existence and continuous dependence of solutions of neutral functional differential equations. Arch. Rational Mech. Anal. 19:1965;149-166.
    • (1965) Arch. Rational Mech. Anal. , vol.19 , pp. 149-166
    • Driver, R.1
  • 6
    • 0001249155 scopus 로고
    • Note on the derivatives with respect to a parameter of the solutions of a system of differential equations
    • Gronwall T. Note on the derivatives with respect to a parameter of the solutions of a system of differential equations. Ann. Math. 20:1919;292-296.
    • (1919) Ann. Math. , vol.20 , pp. 292-296
    • Gronwall, T.1
  • 7
    • 0002406245 scopus 로고
    • Positive solutions of functional differential equations
    • Györi I., Stavroulakis I. Positive solutions of functional differential equations. Boll. Un. Mat. Ital. B. 3:1989;185-198.
    • (1989) Boll. Un. Mat. Ital. B , vol.3 , pp. 185-198
    • Györi, I.1    Stavroulakis, I.2
  • 9
    • 0021470296 scopus 로고
    • Continuability of solutions of perturbed differential equations
    • Hara T., Yoneyama T., Sugie J. Continuability of solutions of perturbed differential equations. Nonlinear Anal. 8:1984;963-975.
    • (1984) Nonlinear Anal. , vol.8 , pp. 963-975
    • Hara, T.1    Yoneyama, T.2    Sugie, J.3
  • 10
    • 52649085452 scopus 로고
    • On the generalised pantograph functional differential equation
    • Iserles A. On the generalised pantograph functional differential equation. European J. Appl. Math. 4:1993;1-38.
    • (1993) European J. Appl. Math. , vol.4 , pp. 1-38
    • Iserles, A.1
  • 12
    • 0002524205 scopus 로고
    • Oscillations of first order linear retarded differential equations
    • Philos Ch. Oscillations of first order linear retarded differential equations. J. Math. Anal. Appl. 157:1991;17-33.
    • (1991) J. Math. Anal. Appl. , vol.157 , pp. 17-33
    • Philos, Ch.1
  • 13
    • 0030080087 scopus 로고    scopus 로고
    • Existence and stability of nonlinear functional differential equations
    • Sengadir T. Existence and stability of nonlinear functional differential equations. J. Math. Anal. Appl. 197:1996;890-907.
    • (1996) J. Math. Anal. Appl. , vol.197 , pp. 890-907
    • Sengadir, T.1
  • 14
    • 0002476071 scopus 로고
    • Continuability of solutions of the generalized Liénard system with time lag
    • Sugie J. Continuability of solutions of the generalized Liénard system with time lag. Proc. Japan Acad. 60:1984;357-360.
    • (1984) Proc. Japan Acad. , vol.60 , pp. 357-360
    • Sugie, J.1
  • 15
    • 0001277673 scopus 로고    scopus 로고
    • Oscillation and stability of linear impulsive delay differential equations
    • Yan J., Zhao A. Oscillation and stability of linear impulsive delay differential equations. J. Math. Anal. Appl. 227:1998;187-194.
    • (1998) J. Math. Anal. Appl. , vol.227 , pp. 187-194
    • Yan, J.1    Zhao, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.