The Journal of the Indian Mathematical Society

P. Sambasiva Rao ¹

Affiliations
1 Andhra University, Waltair, IN

Abstract

The main problem of the vibrating membrane may be stated thus. Let D be a bounded domain in the (X₁, x₂) plane bounded by a regular curve B.

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P. Sambasiva Rao ¹

Affiliations
1 Andhra University, Waltair, IN

Abstract

The eigenvalues are the numbers λ_n which are such that λ_n = n²₁ + n²₂ + n²_k, where n₁n₂,......, n_k are positive or negative integers or zero, and the associated eigenfunctions are ω_n, where ω_n = e^{i(n₁r₁+n₂r₂+......+n_kr_k)}.

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P. Sambasiva Rao ¹, J. Anand Rao ¹

Affiliations
1 Department of Mathematics, Osmania University, Hyderabad, IN

Abstract

Problems in which both rotation and startiflcation are important have been studied by many people interested primarily in meteorological and oceanographic applications rather than the basic fluid mechanics of the problems.

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