# Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations

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In this work, we describe all selfadjoint extensions of the minimal operator generated by linear singular multipoint symmetric differential expression l = (l1, l2, l3), lk = i d/dt + Ak with selfadjoint operator coefficients Ak, k = 1, 2, 3 in a Hilbert space. This is done as a direct sum of...