The generalized quasilinearization method and three point boundary value problems on time scales
نویسندگان
چکیده
منابع مشابه
The 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 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 کاملThe 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 کاملGeneralized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions
The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of three point boundary value problem for second order differential equations with nonlinear boundary conditions. Also, we improve the convergence of the sequence of iterates by establishing a convergence of order k.
متن کاملGeneralized Quasilinearization for Nonlinear Three-point Boundary Value Problems with Nonlocal Conditions
We apply the generalized quasilinearization technique to obtain a monotone sequence of iterates converging quadratically to the unique solution of a general second order nonlinear differential equation with nonlinear nonlocal mixed three-point boundary conditions. The convergence of order n (n ≥ 2) of the sequence of iterates has also been established.
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: Applied Mathematics Letters
سال: 2005
ISSN: 0893-9659
DOI: 10.1016/j.aml.2004.06.022