The Hukuhara-Kneser property for parabolic systems with nonlinear boundary conditions |
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Authors: | Paul C Talaga |
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Institution: | Mathematics Department, Weber State College, Ogden, Utah 84408 U.S.A. |
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Abstract: | We analyze the asymptotic behavior as x → ∞ of the product integral Πx0xeA(s)ds, where A(s) is a perturbation of a diagonal matrix function by an integrable function on x0,∞). Our results give information concerning the asymptotic behavior of solutions of certain linear ordinary differential equations, e.g., the second order equation y″ = a(x)y. |
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