The quasilinearization method for boundary value problems on time scales
نویسندگان
چکیده
منابع مشابه
The Quasilinearization Method for Dynamic Equations with m-point Boundary Value Problems on Time Scales
The method of quasilinearization is applied to the nonlinear second order dynamic equations with m-point boundary conditions on time scales, and two sequences could be constructed which converge uniformly to the unique solution of the m-point boundary value problems from above and below with high rate of convergence. AMS Subject Classifications: 34B15, 39A12.
متن کاملThe generalized quasilinearization method and three point boundary value problems on time scales
The generalized quasilinearization method is applied to the threepoint boundary value problems on time scales, and two sequences could be constructed which converge uniformly to the unique solution and the convergence is quadratic. AMS Subject Classification: 34B10, 34B15
متن کاملExistence of solutions of boundary value problems for Caputo fractional differential equations on time scales
In this paper, we study the boundary-value problem of fractional order dynamic equations on time scales, $$ ^c{Delta}^{alpha}u(t)=f(t,u(t)),;;tin [0,1]_{mathbb{T}^{kappa^{2}}}:=J,;;1
متن کاملPeriodic Boundary Value Problems on Time Scales
We extend the results concerning periodic boundary value problems from the continuous calculus to time scales. First we use the Schauder fixed point theorem and the concept of lower and upper solutions to prove the existence of the solutions and then we investigate a monotone iterative method which could generate some of them. Since this method does not work on each time scale, a condition cont...
متن کاملQuasilinearization Method and Nonlocal Singular Three Point Boundary Value Problems
The method of upper and lower solutions and quasilinearization for nonlinear singular equations of the type −x(t) + λx(t) = f(t, x(t)), t ∈ (0, 1), subject to nonlocal three-point boundary conditions x(0) = δx(η), x(1) = 0, 0 < η < 1, are developed. Existence of a C1 positive solution is established. A monotone sequence of solutions of linear problems converging uniformly and rapidly to a solut...
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: 2002
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(02)00466-3