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Boundary value problems for systems of ordinary differential equations

โœ Scribed by Laszlo S Nicolson


Publisher
Elsevier Science
Year
1969
Tongue
English
Weight
554 KB
Volume
6
Category
Article
ISSN
0022-0396

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We establish existence results for solutions to boundary value problems for systems of second order difference equations associated with systems of second order ordinary differential equations subject to nonlinear boundary conditions.

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Solutions, \(u(x)\), of the first order system, \(u^{\prime}=f(x, u)\), satisfying the multipoint boundary conditions, \(\sum_{i=1}^{k} M_{i} u\left(x_{j}\right)=r\), are differentiated with respect to the components of \(r\) and with respect to the boundary points, \(x_{j}\), where \(M_{1}, \ldots,