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Generalized boundary value problems with linear growth

Valter Šeda — 1998

Mathematica Bohemica

It is shown that for a given system of linearly independent linear continuous functionals l i C n - 1 , i = 1 , , n , the set of all n -th order linear differential equations such that the Green function for the corresponding generalized boundary value problem (BVP for short) exists is open and dense in the space of all n -th order linear differential equations. Then the generic properties of the set of all solutions to nonlinear BVP-s are investigated in the case when the nonlinearity in the differential equation has...

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