A nonlinear singular eigenvalue problem for a Hamiltonian system of differential equations with redundant condition (Q2354482)

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A nonlinear singular eigenvalue problem for a Hamiltonian system of differential equations with redundant condition
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    A nonlinear singular eigenvalue problem for a Hamiltonian system of differential equations with redundant condition (English)
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    13 July 2015
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    This paper deals with self-adjoint nonlinear eigenvalue problems defined on an infinite half-line. As redundant conditions, the authors take most nonlocal conditions specified by a Stieltjes integral. The original singular problem is approximated by a problem on a finite interval. Now, the properties of this problem are examined, and a numerical method that solves it is given.
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    singular Hamiltonian system of differential equations
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    nonlinear self-adjoint eigenvalue problem
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    eigenvalues
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    nonlocal conditions
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    redundant conditions
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    numerical method for counting eigenvalues
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