Stability of solutions bifurcating from a multiple eigenvalue |
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| Authors: | K.A. Landman S. Rosenblat |
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| Affiliation: | 1. Department of Mathematics , University of Melbourne , Parkville , Victoria , 3052 , Australia;2. Department of Mathematics , University of Melbourne , Parkville , Victoria , 3052 , Australia |
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| Abstract: | The asymptotic form of the Titchmarsh-Weyl m-coefficient for the differential equation ?(py′)′+q j = λwy on [a, b). (′≡d/dx), as |λ|→∞, is obtained under general conditions on the real-valued coefficients p, q and w, with p≧0 and w≧0. Examples are given to show that the result is near to but possible, although there are many interesting cases for which the asymptotic form of the m-coefficient is still not known. |
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| Keywords: | Bifurcation theory stability multiple eigenvalues |
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