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 books.google.com 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 ... 

 books.google.com 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 statedependent
delays 503. 

 books.google.com 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
: ... 

 books.google.com 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 ... 

 books.google.com ... derivatives. Theorem. If the righthand 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: ... 

 books.google.com 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
EQUATIONS 145. 

 books.google.com 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
differentiable ... 

 books.google.com ... Difference NT Algebra, Difference Asymptotic expansions Differential
difference equations — Numerical solutions BT ... UF Dynamical systems,
Differentiable Dynamics, Differentiable BT Differential equations Global analysis (
Mathematics) ... 

 books.google.com 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 ... 

 books.google.com 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
systems ... 

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