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Volumn 271, Issue 1, 2002, Pages 31-58

Averaging techniques for self-adjoint matrix equations on a measure chain

Author keywords

Measure chains; Nonoscillation; Oscillation; Riccati equation; Time scales

Indexed keywords


EID: 0036660228     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00092-6     Document Type: Article
Times cited : (5)

References (11)
  • 1
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    • Hilger, S.1
  • 2
    • 0032166412 scopus 로고    scopus 로고
    • Quadratic functional for second order matrix equations on time scales
    • R. Agarwal, M. Bohner, Quadratic functional for second order matrix equations on time scales, Nonlinear Anal. 33 (1998) 675-692.
    • (1998) Nonlinear Anal , vol.33 , pp. 675-692
    • Agarwal, R.1    Bohner, M.2
  • 3
    • 0000990742 scopus 로고    scopus 로고
    • Sturm-Liouville eigenvalue problems on time scales
    • R. Agarwal, M. Bohner, P. Wong, Sturm-Liouville eigenvalue problems on time scales, Appl. Math. Comput. 99 (1999) 153-166.
    • (1999) Appl. Math. Comput , vol.99 , pp. 153-166
    • Agarwal, R.1    Bohner, M.2    Wong, P.3
  • 5
    • 0346881057 scopus 로고    scopus 로고
    • Green's functions and comparison theorems for differential equations on measure chains
    • L.H. Erbe, A. Peterson, Green's functions and comparison theorems for differential equations on measure chains, Dynam. Contin. Discrete Impuls. Systems 6 (1999) 121-137.
    • (1999) Dynam. Contin. Discrete Impuls. Systems , vol.6 , pp. 121-137
    • Erbe, L.H.1    Peterson, A.2
  • 6
    • 0036538243 scopus 로고    scopus 로고
    • Oscillation criteria for second order matrix dynamic equations on a time scale
    • L.H. Erbe, A. Peterson, Oscillation criteria for second order matrix dynamic equations on a time scale, J. Comput. Appl. Math. 141 (2002) 169-186.
    • (2002) J. Comput. Appl. Math , vol.141 , pp. 169-186
    • Erbe, L.H.1    Peterson, A.2
  • 7
    • 0003749497 scopus 로고    scopus 로고
    • Dynamic Equations on Time Scales: An Introduction with Applications
    • Birkhäuser, Boston
    • M. Bohner, A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, Boston, 2001.
    • (2001)
    • Bohner, M.1    Peterson, A.2
  • 8
    • 84967790448 scopus 로고
    • Riccati techniques and variational principles in oscillation theory for linear systems
    • G.J. Butler, L.H. Erbe, A.B. Mingarelli, Riccati techniques and variational principles in oscillation theory for linear systems, Trans. Amer. Math. Soc. 303 (1987) 263-282.
    • (1987) Trans. Amer. Math. Soc , vol.303 , pp. 263-282
    • Butler, G.J.1    Erbe, L.H.2    Mingarelli, A.B.3
  • 9
    • 33646970628 scopus 로고
    • Weighted means and oscillation conditions for second order matrix differential equations
    • R. Byers, B.J. Harris, M.K. Kwong, Weighted means and oscillation conditions for second order matrix differential equations, J. Differential Equations 61 (1986) 164-177.
    • (1986) J. Differential Equations , vol.61 , pp. 164-177
    • Byers, R.1    Harris, B.J.2    Kwong, M.K.3
  • 10
    • 0001543057 scopus 로고
    • Oscillation and nonoscillation for systems of self-adjoint second order difference equations
    • S. Chen, L. Erbe, Oscillation and nonoscillation for systems of self-adjoint second order difference equations, SIAM J. Math. Anal. 20 (1989) 939-949.
    • (1989) SIAM J. Math. Anal , vol.20 , pp. 939-949
    • Chen, S.1    Erbe, L.2
  • 11
    • 0001784146 scopus 로고
    • Oscillation of second order linear matrix difference equations
    • A. Peterson, J. Ridenhour, Oscillation of second order linear matrix difference equations, J. Differential Equations 89 (1991) 69-621.
    • (1991) J. Differential Equations , vol.89 , pp. 69-621
    • Peterson, A.1    Ridenhour, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.