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DSM for general nonlinear equations

โœ Scribed by A.G. Ramm

Book ID
116217656
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
225 KB
Volume
25
Category
Article
ISSN
0893-9659

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๐Ÿ“œ SIMILAR VOLUMES

Dynamical systems method (DSM) for nonli
Dynamical systems method (DSM) for nonlinear equations in Banach spaces
โœ A.G. Ramm ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 116 KB

The DSM (dynamical systems method) is justified for nonlinear operator equations in a Banach space. The main assumption is on the spectral properties of the Fre `chet derivative of the operator at a suitable point. A singular perturbation problem related to the original equation is studied.

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In this paper, under some suitable conditions, we establish a general comparison theorem for positive solution of the following initial value problems: = 0, and ยฉ2001 (p2(r)g(v(r))~.a(v'(r)))' + q2(r)f (v(r)) = 0, r > 0, v(O) = vo, 4(0) = O.

Strongly Nonlinear Generalized Equations
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โœ Livinus U Uko ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 161 KB

We study a class of generalized equations which includes as a special case various classes of quasi variational inequalities introduced by Noor, Isac, Siddiqi, and Ansari. Such problems occur in mathematical programming and in various other branches of pure and applied mathematics. We also propose t