Existence of Multiple Positive Solutions for Even Order Multi-Point Boundary Value Problems
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 multiple solutions for Sturm-Liouville boundary value problems
In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.
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 کاملExistence of Positive Solutions for Second Order Multi–point Boundary Value Problems
We study the second order nonlinear differential equation: (E) y′′ +h(t) f (y) = 0, 0 < t < 1, h(t) ∈ L1(0,1), f (y) ∈C(R,R+) subject to multi-point boundary conditions: (i) y(0) = m ∑ i=1 αiy(ξi), y(1) = m ∑ i=1 βiy(ξi), (ii) y′(0) = m ∑ i=1 αiy′(ξi), y(1) = m ∑ i=1 βiy(ξi), (iii) y(0) = m ∑ i=1 αiy(ξi), y′(1) = m ∑ i=1 βiy′(ξi), where 0 < ξ1 < · · · < ξm < 1,αi 0,βi 0, i = 1,2, · · · ,m . We ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: gmj
سال: 2007
ISSN: 1572-9176,1072-947X
DOI: 10.1515/gmj.2007.775