Classification of five-point differential–difference equations II
نویسندگان
چکیده
منابع مشابه
Extension of Liapunov Theory to Five-point Boundary Value Problems for Third Order Differential Equations
This paper presents criteria for the existence and uniqueness of solutions to five-point boundary value problems associated with third order differential equations by using matching technique. ’Liapunov-like’ functions are used as a tool to establish existence and uniqueness of solutions by matching two three-point boundary value problems. AMS Mathematics Subject Classification (2000): 34B10, 3...
متن کاملFive Lectures on Soliton Equations
which commute with the flow defined by (0.1) (we set τ1 = z and τ2 = τ). The important fact is that the right hand sides Pn of equations (0.2) are polynomials in v and its derivatives, i.e., differential polynomials in v. This fact allows us to treat the KdV hierarchy (0.2) in the following way. Consider the ring R = C[v]n≥0 of polynomials in the variables v (n) (we shall write v for v(0)). Let...
متن کاملFive-point boundary value problems for third-order differential equations by solution matching
For the ordinary differential equation, y = f(x, y, y, y), solutions of 3point boundary value problems on [a, b] are matched with solutions of 3-point boundary value problems on [b, c] to obtain solutions satisfying 5-point boundary conditions on [a, c].
متن کاملSolving delay differential equations by the five-point one-step block method using Neville's interpolation
A five-point one-step block method based on the Newton backward divided difference formulae for the solution of first-order delay differential equations is derived. The proposed block method will approximate the solutions of initial value problems at five points simultaneously using variable step size. The approximation of the delay term is calculated using Neville's interpolation. The block me...
متن کاملClassification of Second-order Ordinary Differential Equations Admitting Lie Groups of Fibre-preserving Point Symmetries
We use Elie Cartan's method of equivalence to give a complete classification, in terms of differential invariants, of second-order ordinary differential equations admitting Lie groups of fibre-preserving point symmetries. We then apply our results to the determination of all second-order equations which are equivalent, under fibre-preserving transformations, to the free particle equation. In ad...
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 Physics A: Mathematical and Theoretical
سال: 2018
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aaa14e