Positive solutions of a second-order three-point boundary value problem via functional compression-expansion

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Positive Solutions of a Second-order Three-point Boundary Value Problem via Functional Compression-expansion

The literature concerning nonlocal boundary value problems is extensive. Moreover, applications of fixed point theorems to positive solutions of such has sparked much interest, see [9, 10, 11, 12]. Many of the results involving nonlocal boundary value problems are summarized in [9]. A more general summary of positive solutions results for a variety of differential equation types is available in...

متن کامل

Positive Solutions for a Functional Delay Second-order Three-point Boundary-value Problem

We establish criteria for the existence of positive solutions to the three-point boundary-value problems expressed by second-order functional delay differential equations of the form −x′′(t) = f(t, x(t), x(t− τ), xt), 0 < t < 1, x0 = φ, x(1) = x(η), where φ ∈ C[−τ, 0], 0 < τ < 1/4, and τ < η < 1.

متن کامل

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 کامل

Positive solutions to a generalized second order three-point boundary value problem

Let T be a time scale with 0, T ∈ T. We investigate the existence and multiplicity of positive solutions to the nonlinear second-order three-point boundary-value problem u∆∇(t) + a(t)f(u(t)) = 0, t ∈ [0, T ] ⊂ T, u(0) = βu(η), u(T ) = αu(η) on time scales T, where 0 < η < T , 0 < α < T η , 0 < β < T−αη T−η are given constants.

متن کامل

Positive Solutions to a Singular Second Order Boundary Value Problem

In this paper, we establish some criteria for the existence of positive solutions for certain two point boundary value problems for the singular nonlinear second order equation −(ru ) + qu = λf (t, u ) on a time scale T. As a special case when T = R, our results include those of Erbe and Mathsen [11]. Our results are new in a general time scale setting and can be applied to difference and q-dif...

متن کامل

ذخیره 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: Electronic Journal of Qualitative Theory of Differential Equations

سال: 2009

ISSN: 1417-3875

DOI: 10.14232/ejqtde.2009.1.55