The recent progress in computational machinery which opens unexpected and far reaching possibilities in applications puts new demands on certain branches of mathematics. In particular, it requires… (More)

The problem of so lv ing boundary va lue problems in the theory of l inear par t ia l diff e ren t ia l equa t ions i s of b a s i c impor tance in va r ious p h y s i c a l and t e chn i ca l app l… (More)

and observe that E(u) = E{u, u) is the energy integral connected with (1). Let Z be the linear space of all solutions of (1) with finite energy integral; we may introduce into 2Z the metric based on… (More)