Upper and lower bounds in equations of forced vibration type

Author:

Bramble J. H.,Payne L. E.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference14 articles.

1. Aronszajn, N.: Approximation methods for eigenvalues of completely continuous symmetric operators. Symp. Spectral Theory and Diff. Probs., Stillwater, Oklahoma 1951, pp. 179–202.

2. Bazley, N., & D. W. Fox: Lower bounds for eigenvalues using operator decompositions of the form B* B. Arch. Rational Mech. Anal. 10, 352–360 (1962).

3. Bramble, J. H., & L. E. Payne: Bounds for solutions of second order elliptic partial differential equations. Contrib. Diff. Eqtns. 1, 95–127 (1963).

4. Bramble, J. H., & L. E. Payne: Bounds in the Neumann problem for second order uniformly elliptic operators. Pac. J. Math. 12, 823–833 (1962).

5. Bramble, J. H., & L. E. Payne: Some integral inequalities for uniformly elliptic operators. Contrib. Diff. Eqtns. 1, 129–135 (1963).

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3. Approximation of the eigenvectors of a positive compact operator and estimate of the error;Annali di Matematica Pura ed Applicata;1976-12

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