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|2. Differentiability of the Solutions of Differential Equations with Fixed Moments of |
Impulses on the Initial Condition and Impulsive Effects In this section we continue
with investigation the problem (2.1), (2.2), (2.3). If for each t ≥ t0, there exists ...
|Ordinary Differential Equations A. Canada, P. Drabek, A. Fonda. Both the strong |
W* norm ... differentiable. An application of differentiability of solutions with
respect to parameters Functional differential equations with state-dependent
|Nxx) (refers to: approximation of a differential equation by difference equations, |
dissipative function, gas dynamics, ... Differential calculus) Differentiability of
solutions (of differential equations) (34A10, 34CXX; 34A12, 34Cxx) (referred to in
|At first glance, this might look like an oddity or, worse, seem to be a problem, |
since a function that is not differentiable cannot claim any right for being a
solution of a differential equation. It will turn out, however, that it is advantageous
to take a ...
|... derivatives. Theorem. If the right-hand side v(t,x) of the differential equation x — |
v(t,x) is continuously differentiable, then the solution g(t,x) with initial condition g(
to,x) = x is a continuously differentiable function of the initial conditions: ...
|differentiable function fi(x) which is zero outside of G and is equal to 1 in the |
region V. Let Z (x) be a fundamental function of ... infinitely often differentiable
function in LOCAL PROPERTIES OF SOLUTIONS OF DIFFERENTIAL
|Techniques for solving linear and certain classes of nonlinear stochastic |
differential equations are presented, along with ... in differential equations leads
to two distinct classes of equations, for which the solution processes have
|... Difference NT Algebra, Difference Asymptotic expansions Differential-|
difference equations — Numerical solutions BT ... UF Dynamical systems,
Differentiable Dynamics, Differentiable BT Differential equations Global analysis (
|Considering equations of general type, L. Hiirmander2 has characterized all |
differential operators L, with constant coefficients, so that any solution u of L[u] = f
is infinitely differentiable whenever f is. For linear equations with variable ...
|This property—that the solution is more differentiable than the data and that this |
gain in differentiability of the solution is equal to the order of the differential
operator—characterizes an equation or system of equations as elliptic. (For
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