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- W2061507785 abstract "This paper addresses the existence of solutions u ∈ H 1 (ℝ + ;ℝ N ) of ODE systems [Formula: see text], with boundary condition u 1 (0) = ξ, where u 1 is a (vector) component of u. Under general conditions, the problem corresponds to a functional equation involving a Fredholm operator with calculable index, which is proper on the closed bounded subsets of H 1 (ℝ + ;ℝ N ). When the index is 0 and the solutions are bounded a priori, the existence follows from an available degree theory for such operators. Specific conditions are given that guarantee the existence of a priori bounds and second order equations with Dirichlet, Neumann or initial value conditions are discussed as applications." @default.
- W2061507785 created "2016-06-24" @default.
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- W2061507785 date "2005-02-01" @default.
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- W2061507785 title "A SOBOLEV SPACE APPROACH TO BOUNDARY VALUE PROBLEMS ON THE HALF-LINE" @default.
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- W2061507785 doi "https://doi.org/10.1142/s0219199705001611" @default.
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