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Asymptotic Behavior of Solution Branches of Nonlocal Boundary Value Problems

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In this article, by employing an oscillatory condition on the nonlinear term, a result is proved for the existence of connected component of solutions set of a nonlocal boundary value… Click to show full abstract

In this article, by employing an oscillatory condition on the nonlinear term, a result is proved for the existence of connected component of solutions set of a nonlocal boundary value problem, which bifurcates from infinity and asymptotically oscillates over an interval of parameter values. An interesting and immediate consequence of such oscillation property of the connected component is the existence of infinitely many solutions of the nonlinear problem for all parameter values in that interval.

Keywords: asymptotic behavior; behavior solution; nonlocal boundary; boundary value; solution branches

Journal Title: Acta Mathematica Scientia
Year Published: 2020

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