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Article

Rudolf, Boris
The generalized boundary value problem is a Fredholm mapping of index zero. (English). Archivum Mathematicum, vol. 31 (1995), issue 1, pp. 55-58
MSC: 34B05, 34B99, 47N20 | MR 1342375 | Zbl 0830.34013
Keywords:
generalized BVP; Fredholm mapping
Summary:
In the paper it is proved that each generalized boundary value problem for the n-th order linear differential equation generates a Fredholm mapping of index zero.
References:
[1] Hartman, P.: Ordinary differential equations. John Wiley & Sons, New York-London-Sydney, 1964. MR 0171038 | Zbl 0125.32102
[2] Šeda, V.: Fredholm mappings and the generalized boundary value problem. Differential and Integral Equations 8 (1995), 19–40. MR 1296108
[3] Trenogin, V. A.: Functional analysis. Nauka, Moscow, 1980. (Russian) MR 0598629 | Zbl 0517.46001
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