Quarterly of Applied Mathematics, Volumes 25-26Brown University, Division of Applied Mathematics, 1967 - Mathematics |
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Common terms and phrases
a₁ analysis applied approximation assumed asymptotic expansion boundary conditions boundary value problem bounded Chapter characteristic coefficients components consider constant contraction mapping coordinates corresponding cosh curves cylinder defined deformation denote derivatives determined differential equations discussed displacement domain eigenvalues elastic exists field finite flow fluid Fourier frequency function given Hence initial value problem integral equations introduced Laplace transform Lemma linear Math mathematical matrix Mech method motion nonlinear normal obtained ordinary differential equations parameter partial differential equation perturbation phase plane plane potential properties radiation region relations respect satisfies scalar singular space stability stress subharmonic surface symmetric t₁ tensor theorem theory tion vanish variables vector velocity viscoelastic wave zero дх