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A procedure which transforms the initial value problem into a two point boundary value problem, for the periodicity condition, and then it finds the initial conditions which lead to periodic response, is developed and presented, for systems of second order ordinary differential equations.
This article is concerned with an obstacle problem for nonlinear subelliptic systems of second order with VMO coefficients.
Several other similar investigations have been done using the perturbed polynomial differential systems of second, third, or even more degree.
We note that the Campanato spaces have been widely used for the discussion of partial regularity of solutions of parabolic systems of second order and fourth order.
Then we would recall a simple consequence of the a prior estimates for solutions of linear elliptic systems of second order with constant coefficients; see [17, Proposition ] for a similar result.
The use of interpolation theory, made in [9] and in [1] with montonicity assumption and quadratic growth, as illustrated in [10], has recently allowed Fattorusso and Marino to obtain differentiability also for weak solutions of nonlinear parabolic systems of second order having nonlinearity 1 < q < 2 (see for details [11]).
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This paper concerns G-invariant systems of second-order differential operators on irreducible Hermitian symmetric spaces G/K.
Multi-species kinematic flow models lead to strongly coupled, nonlinear systems of first-order, spatially one-dimensional conservation laws.
The systems of second-order ordinary differential equations arise from many fields in physics and chemistry.
They investigate systems of second-order logic which have been extended by Basic Law V but in which the Comprehension Principle for Concepts is restricted in some way.
We derived second- as well as third-order variable-mesh schemes for solving linear, non-linear even-order cases and systems of second-order boundary value problems.
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