• 検索結果がありません。

Boundary value problems for higher order ordinary dieren- tial equations

N/A
N/A
Info
ダウンロード
Protected

Academic year: 2022

シェア "Boundary value problems for higher order ordinary dieren- tial equations"

Copied!
1
0
0

読み込み中.... (全文を見る)

今ダウンロードする ( 1 ページ )

全文

(1)

Armando Majorana, Salvatore A. Marano

Boundary value problems for higher order ordinary dieren- tial equations

Comment.Math.Univ.Carolinae 35,3 (1994) 451-466.

Abstract: Letf : [a, b]×Rn+1→Rbe a Carath´eodory’s function. Let{th}, with th ∈[a, b], and{xh}be two real sequences. In this paper, the family of boundary value problems

{x(k)=f¡

t, x, x0, . . . , x(n)¢

x(i)(ti) =xi, i= 0,1, . . . , k−1 (k=n+1, n+2, n+3, . . .) is considered. It is proved that these boundary value problems admit at least a

solution for each k ≥ ν, where ν ≥ n+ 1 is a suitable integer. Some particular cases, obtained by specializing the sequence{th}, are pointed out. Similar results are also proved for the Picard problem.

Keywords: higher order ordinary differential equations, Nicoletti problem, Picard problem

AMS Subject Classification: 34B15, 34B10, 34A12

1

参照

今ダウンロードする ( PDF - 1 ページ - 66.30 KB )

関連したドキュメント

On one class of solvable boundary value problems for ordinary differential equation of n -th order

New sufficient conditions of the existence and uniqueness of the solution of a boundary problem for an ordinary differential equation of n-th order with certain functional

Semi-linear impulsive higher order boundary value problems

G e , Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach

COMPLEX PARTIAL DIFFERENTIAL EQUATIONS IN A MANNER OF I. N. VEKUA

Mathematics Subject Classification (2000): 31A30, 31A10, 31A35, 31A25 Keywords: Beltrami equation, complex partial differential equations of higher order, polyanalytic

(1)Tomus TWO-POINTS BOUNDARY VALUE PROBLEMS FOR CARATHÉODORY SECOND ORDER EQUATIONS Valentina Taddei Abstract

Using a suitable version of Mawhin’s continuation principle, we obtain an existence result for the Floquet boundary value problem for second order Carathéodory differential equations

(1)SINGULAR NONLINEAR (n−1,1) CONJUGATE BOUNDARY VALUE PROBLEMS PAUL W

Waltman, Singular nonlinear bound- ary value problems for second order ordinary differential equations.. Henderson, Singular nonlinear boundary value problems for higher order

Second Two

Keywords: Differential inequalities; Second order nonlinear ordinary differential equation; Lower and upper functions; Right derivative; Bounded variation AMS Subject

Anti-Periodic Boundary Value Problems of Second-Order Functional Differential Equations

In [14] the authors have dis- cussed anti-periodic boundary value problems for second order differential equations, and sufficient conditions for existence of coupled solutions and

On the existence of multiple solutions of the boundary value problem for nonlinear second order differential equations (Functional Equations in Mathematical Models)

Naito, Solutions with prescribed numbers of zeros for nonlinear second order differential equations, Funkcial. Walter, Ordinary Differential Equations, Springer Verlag,