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The investigation of the boundary value problems, concerning the operators in the form of the sum of squares of vector fields fulfilling Hörmander condition, has turned into the subject of several works, see [2 4].
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Most papers in the literature on impulsive boundary value problems concern the case with fixed moments of impulsive effects.
A great deal of the work on singular boundary value problems is mainly concerned with the existence of the solution.
Most of the results on the existence of solutions for fractional boundary value problems at resonance are concerned with finite points.
However, concerning boundary value problems of fractional order, some results on the existence of solutions are obtained in [18].
Boundary value problems of partial differential equations concerned with temperature as the unknown may be solved by a finite Fourier transform method.
Some more recent results concerning fractional boundary value problems can be found in a series of papers [19 27].
We emphasize that most of the work concerning nonlocal boundary value problems relates the contribution expressed in terms of the integral to the value of the unknown function at a fixed point (left/right end-point of the interval under consideration), for instance, see [1 3] and references therein.
For existence and multiplicity results concerning (positive) solutions of the classical case ( κ = 0 ), see for example [8, 9], and for other results concerning the Neumann boundary value problems, see [10] and their references.
We are concerned with initial boundary value problems (IBVP) for parabolic equations and systems in nonsmooth domains.
We are concerned with initial boundary value problems for hyperbolic equations and systems in domains with conical points.
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