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Approximating Monotone Positive Solutions of a Nonlinear Fourth-Order Boundary Value Problem via Sum Operator Method

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In this article, the authors investigate the existence and uniqueness as well as approximations of monotone positive solutions for a nonlinear fourth-order boundary value problem of the form $$ u^{(4)}(t)=f(t,u(t)),\… Click to show full abstract

In this article, the authors investigate the existence and uniqueness as well as approximations of monotone positive solutions for a nonlinear fourth-order boundary value problem of the form $$ u^{(4)}(t)=f(t,u(t)),\ 0< t<1; u(0)=u'(0)= u'(1)=0, u^{(3)}(1)+g(u(1))=0,$$u(4)(t)=f(t,u(t)),0

Keywords: value problem; monotone positive; positive solutions; boundary value

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2017

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