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Construction of solutions for some nonlinear two-point boundary value problems
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Pennline, J. A. |
| Copyright Year | 1982 |
| Description | Constructive existence and uniqueness results for boundary value problems associated with some simple special cases of the second order equation y'' = f(x,y,y') 0 or = x or = 1, are sought. The approach considered is to convert the differential equation and boundary conditions to an integral equation via Green's functions, and then to apply fixed point and contraction map principles to a sequence of successive approximations. The approach is tested on several applied problems. Difficulties in trying to prove general theorems are discussed. |
| File Size | 1600939 |
| Page Count | 24 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19820023073 |
| Archival Resource Key | ark:/13960/t1hj1bt6d |
| Language | English |
| Publisher Date | 1982-01-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical And Computer Sciences (general) Shock Layers Boundary Value Problems Nonlinear Equations Approximation Green's Functions Integral Equations Existence Theorems Differential Equations Problem Solving Boundary Conditions Uniqueness Theorem Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
