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Volumn 148, Issue 2, 1998, Pages 318-333

On the nonnegative square root of the fourth derivative operators

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EID: 0002617823     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.1998.3464     Document Type: Article
Times cited : (4)

References (12)
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    • (1990) Differential Integral Equations , vol.3 , Issue.2 , pp. 381-396
    • Balakrishnan, A.V.1
  • 2
    • 34249962127 scopus 로고
    • Damping operators in continuum models of flexible structure: Explicit models for proportional damping in beam bending with end-bodies
    • A. V. Balakrishnan, Damping operators in continuum models of flexible structure: Explicit models for proportional damping in beam bending with end-bodies, Appl. Math. Optim. 21 (1990), 315-334.
    • (1990) Appl. Math. Optim. , vol.21 , pp. 315-334
    • Balakrishnan, A.V.1
  • 4
    • 0019898082 scopus 로고
    • A mathematical model for linear elastic systems with structural damping
    • G. Chen and D. L. Russell, A mathematical model for linear elastic systems with structural damping, Quart. Appl. Math. 39 (1982), 433-454.
    • (1982) Quart. Appl. Math. , vol.39 , pp. 433-454
    • Chen, G.1    Russell, D.L.2
  • 5
    • 0000342768 scopus 로고
    • Proof of two conjectures by G. Chen and D. L. Russell on structural damping for elastic systems
    • "Approximation and Optimization" (A. DoId and B. Eckmann, Eds.), Springer-Verlag, New York
    • S. Chen and R. Triggiani, Proof of two conjectures by G. Chen and D. L. Russell on structural damping for elastic systems, in "Approximation and Optimization" (A. DoId and B. Eckmann, Eds.), Lecture Notes in Math., pp. 234-256, Springer-Verlag, New York, 1987.
    • (1987) Lecture Notes in Math. , pp. 234-256
    • Chen, S.1    Triggiani, R.2
  • 6
    • 84972562987 scopus 로고
    • Proof of extensions of two conjectures on structural damping for elastic systems
    • S. Chen and R. Triggiani, Proof of extensions of two conjectures on structural damping for elastic systems, Pacific J. Math. 136, No. 1 (1989), 15-55.
    • (1989) Pacific J. Math. , vol.136 , Issue.1 , pp. 15-55
    • Chen, S.1    Triggiani, R.2
  • 7
    • 38249016718 scopus 로고
    • Characterization of domains of fractional powers of certain operators arising in elastic systems and applications
    • S. Chen and R. Triggiani, Characterization of domains of fractional powers of certain operators arising in elastic systems and applications, J. Differential Equations 88, No. 2 (1990), 279-293.
    • (1990) J. Differential Equations , vol.88 , Issue.2 , pp. 279-293
    • Chen, S.1    Triggiani, R.2
  • 8
    • 0002490295 scopus 로고
    • A problem for linear elastic systems with structural damping
    • F. L. Huang, A problem for linear elastic systems with structural damping, Acta Math. Sinica 6 (1986), 107-113.
    • (1986) Acta Math. Sinica , vol.6 , pp. 107-113
    • Huang, F.L.1
  • 9
    • 0000027806 scopus 로고
    • On the positive square root of the fourth derivative operator
    • D. L. Russell, On the positive square root of the fourth derivative operator, Quart. Appl. Math. 46 (1988), 751-773.
    • (1988) Quart. Appl. Math. , vol.46 , pp. 751-773
    • Russell, D.L.1
  • 11
    • 0030243619 scopus 로고    scopus 로고
    • Structure for nonnegative square roots of unbounded nonnegative selfadjoint operators
    • P. F. Yao and D. X. Feng, Structure for nonnegative square roots of unbounded nonnegative selfadjoint operators, Quart. Appl. Math. 54, No. 3 (1996), 457-473.
    • (1996) Quart. Appl. Math. , vol.54 , Issue.3 , pp. 457-473
    • Yao, P.F.1    Feng, D.X.2
  • 12
    • 0030242815 scopus 로고    scopus 로고
    • On the dual boundary conditions of the fourth derivative operator
    • P. F. Yao, On the dual boundary conditions of the fourth derivative operator, Quart. Appl. Math. 54, No. 3 (1996), 445-456.
    • (1996) Quart. Appl. Math. , vol.54 , Issue.3 , pp. 445-456
    • Yao, P.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.