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action Akad algorithm arbitrary assumed asymptotic Banach spaces base-points Berry REFERENCES biharmonic equation boundary conditions boundary value problem calculations coefficients consider const constraints convergence convex coordinate system corresponding cylinder defined denote difference scheme differential equations diffraction eigenvalues eigenvectors element estimate exists extremal problems finite finite-difference forbidden situations formula games with forbidden given gradient method harmonic polynomial Hence Hilbert space implies inequality integral iteration Lemma Let conditions linear matrix minimizing mixed strategies Moscow neighbourhood norm obtained operator operator-function optimal control parabolic particles plane wave point A0 polynomial Proof pure strategies Ritz method satisfying the conditions segment sequence shown slot solution of problem solving spherical harmonics spline subspace sufficient condition Theorem tion uniformly with respect unique solution variables vector velocity vychisl zero