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The mathematical study of the Brown–Ravenhall operator started from the one–particle case in the article of Evans, Perry, and Siedentop [7]. The au- thors have proved that the
Using the concept of principal system of solutions of a self-adjoint even order differential equation, the following oscillation criterion was proved in [10]..
After that we give the proof of the main theorem which is based on Theorem 2.1 to be proved below and our results obtained previously [7] (see also [8]) for fractional integrals
The following theorems, proved in [2], therefore hold, the first showing that the neutrix convolution product is a generaliza- tion of the convolution product..
The notion of leaf-to-leaf transforming homotopic mappings is introduced, and the homotopy axiom for vertical cohomologies is proved (Theorem 2.5).. The notion of a relative group
Using the potential method and the theory of singular integral equa- tions with discontinuous coefficients, the existence of a solution of the mixed boundary value problem is
In the present paper the extension of the Hojman–Lutzky theorem to singular dynamical systems is carried out.. 2000 Mathematics Subject Classification : 70665, 70645,
We make use of a generalization of the fixed point theorem of compression and expansion of functional type to obtain the existence of positive
