Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0715.34032
Agarwal, Ravi P.
On fourth order boundary value problems arising in beam analysis. (English)
[J] Differ. Integral Equ. 2, No.1, 91-110 (1989). ISSN 0893-4983

Summary: We consider a general fourth order nonlinear ordinary differential equation together with two point boundary conditions which occur in the deflection of a beam rigidly fastened at left and simply fastened at right. For this general boundary value problem, we provide necessary and sufficient conditions for the existence and uniqueness of the solutions. We also obtain upper estimates on the length of interval so that Newton's method converges quadratically to the unique solutions. Some of our results are the best possible in their frame.

MSC 2000:: *34B10 Multipoint boundary value problems
65L10 Boundary value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general
74K10 Rods (beams, columns, shafts, arches, rings, etc.)

Keywords: two point boundary conditions; Newton's method

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]