Positive solutions of a system of coupled second order equations with three point boundary conditions
نویسندگان
چکیده
منابع مشابه
Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions
In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...
متن کاملexistence of positive solutions for fourth-order boundary value problems with three- point boundary conditions
in this work, by employing the krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime...
متن کاملexistence of positive solutions for fourth-order boundary value problems with three- point boundary conditions
in this work, by employing the krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prim...
متن کاملThe Symmetric Positive Solutions of Three-point Boundary Value Problems for Nonlinear Second-order Differential Equations
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متن کاملPositive Solutions of Second Order Multi–point Boundary Value Problems with Non–homogeneous Boundary Conditions
We are interested in the existence of positive solutions to multi-point boundary value problems for second order nonlinear differential equations with non-homogeneous boundary conditions. We show that results for the multi-point problems can be proved much in a similar way by methods available for the three point problem. Mathematics subject classification (2010): 34B10, 34B15.
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2012
ISSN: 0035-7596
DOI: 10.1216/rmj-2012-42-4-1169