By using the variational method, we study a nonlinear thermophysical problem with a free
boundary. It is proved that an approximate solution based on the Ritz method tends to the exact one in a certain metric.
A novel approach to the analysis of polystability of nonlinear systems on time scales is proposed with the use of matrixvalued Liapunov function and its alphabrilliant derivative. We present
the general theorems on ...
Степанець, О. I.; Сердюк, А.С.; Шидлiч, А.Л.(2008)
The set of D1 of infinitely differentiable periodic functions is studied in terms of generalized f derivatives defined by a pair f = ( f1, f2) of sequences f1 and f2. It is established that every function F from the set ...
Let A be a partially ordered set. For a, b ∈ A, we put [a, b] = {x ∈ A | a <= x <= b}. The deviation of A, denoted as dev(A), is defined by the following rule. If A is trivial, then we put dev(A) = −∞. If A is not trivial ...