Existence of multiple positive solutions for nonlinear m-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 nonlinear m-point boundary value problems on time scales
where T is a time scale such that 0, T ∈ T, δ,βi > 0, i = 1, . . . , m − 2, jp(s) = |s|s,p > 1,h Î Cld((0, T), (0, +∞)), and f Î C([0,+∞), (0,+∞)), 0 < ξ1 < ξ2 < · · · < ξm−2 < T ∈ T. By using several well-known fixed point theorems in a cone, the existence of at least one, two, or three positive solutions are obtained. Examples are also given in this article. AMS Subject Classification: 34B10;...
متن کاملEXISTENCE OF MULTIPLE POSITIVE SOLUTIONS OF nth-ORDER m-POINT BOUNDARY VALUE PROBLEMS
The paper deals with the existence of multiple positive solutions for the boundary value problem
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 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: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(02)00509-7