Generalized quasilinearization method for a forced duffing equation with three-point nonlinear boundary conditions
نویسندگان
چکیده
منابع مشابه
Generalized 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 کاملGeneralized Quasilinearization Method for Nonlinear Boundary Value Problems with Integral Boundary Conditions
The quasilinearization method coupled with the method of upper and lower solutions is used for a class of nonlinear boundary value problems with integral boundary conditions. We obtain some less restrictive sufficient conditions under which corresponding monotone sequences converge uniformly and quadratically to the unique solution of the problem. An example is also included to illustrate the m...
متن کاملGeneralized Quasilinearization Method for a Second Order Ordinary Differential Equation with Dirichlet Boundary Conditions
We study the existence and approximation of solutions for a nonlinear second order ordinary differential equation with Dirichlet boundary value conditions. We present a generalized quasilinearization technique to obtain a sequence of approximate solutions converging quadratically to a solution.
متن کاملThe generalized quasilinearization technique for a second order differential equation with separated boundary conditions
The method of upper and lower solutions and the method of quasilinearization for a second order nonlinear differential equation −x (t) = f (t, x, x ), t ∈ [0, 1] subject to the separated boundary conditions p0x(0) − q0x (0) = a, p1x(1) + q1x (1) = b, is developed. A monotone sequence of solutions of linear problems converging uniformly and quadratically to a solution of the problem is obtained....
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: Mathematical Inequalities & Applications
سال: 2008
ISSN: 1331-4343
DOI: 10.7153/mia-11-11