Existence of positive solution to a singular second-order initial value problem with impulses
نویسندگان
چکیده
منابع مشابه
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 کاملApproximate Solution of the Second Order Initial Value Problem by Using Epsilon Modified Block-Pulse Function
The present work approaches the problem of achieving the approximate solution of the second order initial value problems (IVPs) via its conversion into a Volterra integral equation of the second kind (VIE2). Therefore, we initially solve the IVPs using Runge–Kutta of the forth–order method (RK), and then convert it into VIE2, and apply the εmodified block–pulse functions (εMBPFs) and their oper...
متن کاملExistence of solution for singular two-piont boundary value problem of second-order differential equation
In this paper , by constructing a special set and utilizing fixed point theory in coin , we study the existence of solution of singular two points boundary value problem for second-order differential equation , which improved and generalize the result of related paper . Keywords—singular differential equation , boundary value problem, coin , fixed point theory .
متن کاملExistence of positive solutions for a second-order p-Laplacian impulsive boundary value problem on time scales
In this paper, we investigate the existence of positive solutions for a second-order multipoint p-Laplacian impulsive boundary value problem on time scales. Using a new fixed point theorem in a cone, sufficient conditions for the existence of at least three positive solutions are established. An illustrative example is also presented.
متن کاملExistence of Positive Solution for Semipositone Second-order Three-point Boundary-value Problem
In this paper, we establish the existence of positive solution for the semipositone second-order three-point boundary value problem u′′(t) + λf(t, u(t)) = 0, 0 < t < 1, u(0) = αu(η), u(1) = βu(η). Our arguments are based on the well-known Guo-Krasnosel’skii fixed-point theorem in cones.
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 Computational and Applied Mathematics
سال: 2007
ISSN: 0377-0427
DOI: 10.1016/j.cam.2006.08.021