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Volumn 294, Issue 2, 2004, Pages 621-643

Kamenev-type and interval oscillation criteria for second-order linear differential equations on a measure chain

Author keywords

Interval criteria; Kamenev criterion; Measure chains; Oscillation; Time scales

Indexed keywords


EID: 3142666882     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2004.02.040     Document Type: Article
Times cited : (35)

References (25)
  • 1
    • 0002864092 scopus 로고    scopus 로고
    • Basic calculus on time scales and some of its applications
    • Agarwal R.P. Bohner M. Basic calculus on time scales and some of its applications Results Math. 35 1999 3-22
    • (1999) Results Math. , vol.35 , pp. 3-22
    • Agarwal, R.P.1    Bohner, M.2
  • 3
    • 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
  • 4
    • 0001543057 scopus 로고
    • Oscillation and nonoscillation for systems of self-adjoint second order difference equation
    • Chen S. Erbe L.H. Oscillation and nonoscillation for systems of self-adjoint second order difference equation SIAM J. Math. Anal. 20 1989 939-949
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 939-949
    • Chen, S.1    Erbe, L.H.2
  • 5
    • 84968516133 scopus 로고
    • An oscillation criterion for second order differential equations
    • Coles W.J. An oscillation criterion for second order differential equations Proc. Amer. Math. Soc. 19 1968 755-759
    • (1968) Proc. Amer. Math. Soc. , vol.19 , pp. 755-759
    • Coles, W.J.1
  • 6
    • 3142734475 scopus 로고    scopus 로고
    • Oscillation criteria for second order linear equations on a time scale
    • Erbe L.H. Oscillation criteria for second order linear equations on a time scale Canad. Appl. Math. Quart. 9 2001 345-375
    • (2001) Canad. Appl. Math. Quart. , vol.9 , pp. 345-375
    • Erbe, L.H.1
  • 8
    • 3142775767 scopus 로고    scopus 로고
    • A telescoping principle for oscillations of second order differential equations on time scales
    • In press
    • L.H. Erbe, L. Kong, Q. Kong, A telescoping principle for oscillations of second order differential equations on time scales, Rocky Mountain J. Math., in press
    • Rocky Mountain J. Math.
    • Erbe, L.H.1    Kong, L.2    Kong, Q.3
  • 9
    • 0001065639 scopus 로고
    • Kamenev type theorems for second order matrix differential systems
    • Erbe L.H. Kong Q. Ruan S. Kamenev type theorems for second order matrix differential systems Proc. Amer. Math. Soc. 117 1993 957-962
    • (1993) Proc. Amer. Math. Soc. , vol.117 , pp. 957-962
    • Erbe, L.H.1    Kong, Q.2    Ruan, S.3
  • 10
    • 0036660228 scopus 로고    scopus 로고
    • Averaging techniques for self-adjoint matrix equations on a measure chain
    • Erbe L. Peterson A. Averaging techniques for self-adjoint matrix equations on a measure chain J. Math. Anal. Appl. 271 2002 31-58
    • (2002) J. Math. Anal. Appl. , vol.271 , pp. 31-58
    • Erbe, L.1    Peterson, A.2
  • 11
    • 0036538243 scopus 로고    scopus 로고
    • Oscillation criteria for second-order matrix dynamic equations on a time scale. Dynamic equations on time scales
    • Erbe L. Peterson A. Oscillation criteria for second-order matrix dynamic equations on a time scale. Dynamic equations on time scales J. Comput. Appl. Math. 141 2002 169-185
    • (2002) J. Comput. Appl. Math. , vol.141 , pp. 169-185
    • Erbe, L.1    Peterson, A.2
  • 12
    • 0036868423 scopus 로고    scopus 로고
    • Comparison theorems for linear dynamic equations on time scales
    • Erbe L. Peterson A. Řehák P. Comparison theorems for linear dynamic equations on time scales J. Math. Anal. Appl. 275 2002 418-438
    • (2002) J. Math. Anal. Appl. , vol.275 , pp. 418-438
    • Erbe, L.1    Peterson, A.2    Řehák, P.3
  • 13
    • 0002257939 scopus 로고
    • Concerning the zeros of the solutions of certain differential equations
    • Fite W.B. Concerning the zeros of the solutions of certain differential equations Trans. Amer. Math. Soc. 19 1918 341-352
    • (1918) Trans. Amer. Math. Soc. , vol.19 , pp. 341-352
    • Fite, W.B.1
  • 14
    • 0000632529 scopus 로고
    • On nonoscillatory linear differential equations of second order
    • Hartman P. On nonoscillatory linear differential equations of second order Amer. J. Math. 74 1952 389-400
    • (1952) Amer. J. Math. , vol.74 , pp. 389-400
    • Hartman, P.1
  • 15
    • 84951604495 scopus 로고
    • Analysis on measure chains-a unified approach to continuous and discrete calculus
    • Hilger S. Analysis on measure chains-a unified approach to continuous and discrete calculus Results Math. 18 1990 18-56
    • (1990) Results Math. , vol.18 , pp. 18-56
    • Hilger, S.1
  • 16
    • 0002978466 scopus 로고
    • Oscillatory second order linear difference equations and Riccati equations
    • Hooker J.W. Kwong M.K. Patula W.T. Oscillatory second order linear difference equations and Riccati equations SIAM J. Math. Anal. 18 1987 54-63
    • (1987) SIAM J. Math. Anal. , vol.18 , pp. 54-63
    • Hooker, J.W.1    Kwong, M.K.2    Patula, W.T.3
  • 17
    • 0001114950 scopus 로고
    • An integral criterion for oscillation of nonlinear differential equations of second order
    • translation in Math. Notes 23 1978 136-138
    • Kamenev I.V. An integral criterion for oscillation of nonlinear differential equations of second order Mat. Zametki 23 1978 249 251 translation in Math. Notes 23 1978 136-138
    • (1978) Mat. Zametki , vol.23 , pp. 249-251
    • Kamenev, I.V.1
  • 18
    • 0001221098 scopus 로고    scopus 로고
    • Interval criteria for oscillation of second order linear ordinary differential equations
    • Kong Q. Interval criteria for oscillation of second order linear ordinary differential equations J. Math. Anal. Appl. 229 1999 258-270
    • (1999) J. Math. Anal. Appl. , vol.229 , pp. 258-270
    • Kong, Q.1
  • 19
    • 21844482187 scopus 로고
    • Interval oscillation conditions for difference equation
    • Kong Q. Zettl A. Interval oscillation conditions for difference equation SIAM J. Math. Anal. 26 1995 1047-1060
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 1047-1060
    • Kong, Q.1    Zettl, A.2
  • 20
    • 0002260040 scopus 로고
    • Integral inequalities and second order linear oscillation
    • Kwong M.K. Zettl A. Integral inequalities and second order linear oscillation J. Differential Equations 45 1982 16-23
    • (1982) J. Differential Equations , vol.45 , pp. 16-23
    • Kwong, M.K.1    Zettl, A.2
  • 21
    • 58149363311 scopus 로고
    • Oscillation criteria for second order linear differential equations
    • Li H.J. Oscillation criteria for second order linear differential equations J. Math. Anal. Appl. 194 1995 217-234
    • (1995) J. Math. Anal. Appl. , vol.194 , pp. 217-234
    • Li, H.J.1
  • 22
    • 34249969865 scopus 로고
    • Oscillation theorems for linear differential equations of second order
    • Philos Ch.G. Oscillation theorems for linear differential equations of second order Arch. Math. 53 1989 482-492
    • (1989) Arch. Math. , vol.53 , pp. 482-492
    • Philos, Ch.G.1
  • 23
    • 84968484532 scopus 로고
    • Oscillation theorems for second order differential equations with damping
    • Yan J. Oscillation theorems for second order differential equations with damping Proc. Amer. Math. Soc. 98 1986 276-282
    • (1986) Proc. Amer. Math. Soc. , vol.98 , pp. 276-282
    • Yan, J.1
  • 24
    • 0001467035 scopus 로고
    • On the oscillatory behavior of the solutions of second order linear differential equations
    • Willett D.W. On the oscillatory behavior of the solutions of second order linear differential equations Ann. Polon. Math. 21 1969 175-194
    • (1969) Ann. Polon. Math. , vol.21 , pp. 175-194
    • Willett, D.W.1
  • 25
    • 0001700504 scopus 로고
    • A criterion of oscillatory stability
    • Wintner A. A criterion of oscillatory stability Quart. Appl. Math. 7 1949 115-117
    • (1949) Quart. Appl. Math. , vol.7 , pp. 115-117
    • Wintner, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.