... distributed parameters, Optimization 21 (1990),no. 2, 197–207.[14], Mathematical An alysis and Applications, Papatya, Istanbul, 2002.10 Optimization of Darboux inclusionsand condition (4.7)canberewrittenasfollows:ϕ∗(1,τ ... Tikhonov and A. A. Samarskii, The Equations of Mathematical Physics,3rded.,Nauka,Moscow, 1966, English translation of 2nd ed., vols, 1, 2, Holden-Day, California, 1964, 1967.Elimhan N. Mahmudov: ... υ).(2.4)12 Optimization of Darboux inclusionsNow, after simple transformations of first double integral over Q of right-hand side of inequality (5.8) using equalit y of mixed partial derivatives of x∗(t,τ)wecanwriteQ∂2x∗(t,τ)∂t∂τ,x(t,...