Boundary-value problems for shallow elastic membrane caps

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[1] Palamides, P.K.
来源：
Palamides, P.K. (ppalam@cc.uoi.gr) | 1600年 / Oxford University Press卷 / 67期
关键词：
Approximation theory - Boundary conditions - Conformal mapping - Container closures - Deformation - Mathematical models - Membranes - Stresses - Theorem proving;
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摘要：
Consider the general nonlinear boundary-value problem (p(t)y′(t))′ = p(t)q(t) f(t, y(t), y′(t)), t ≥ 1, g(y(1), y′(1)) = 0, where the function f may be singular at the point y(1) = 0 and p(1) ≥ 0. We obtain conditions which guarantee existence of positive and bounded solutions of the above problem. As an application we prove existence and uniqueness of rotationally symmetric solutions to a nonlinear boundary-value problem, representing the elastic deformation of a spherical cap.
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