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For example, see monographs [1 4].
For other related notions, see monographs [2, 9 11] for details.
Then the goal is to establish partial regularity of weak solutions for systems; see monographs [4 6] for more details.
The most complete results were obtained in the theory of inverse spectral problems for scalar Sturm-Liouville operators (-y" + q(x) y) (see monographs [1 4] and the references therein).
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Dr. Gibbs, who described the four New York City area species as well as seven others found in the Eastern United States, published the new descriptions on Oct. 28 in the journal Zootaxa (see monograph – pdf).
This is also an important open problem (see monograph [2]).
For the continuous version of Eq. (1), many authors have studied its oscillation (see monograph [3] and references therein).
For instance, the variable exponent spaces are no longer translation invariant and Young's inequality ∥ f ∗ g ∥ p ≤ C ∥ f ∥ p ∥ g ∥ 1 holds if and only if p is constant (see monograph [12]).
During the past few decades, fractional differential equations have proved to be valuable tools in the modeling of many phenomena in viscoelasticity, electrochemistry, control, porous media, and electromagnetism, etc. Due to its tremendous scopes and applications, several monographs have been devoted to the study of fractional differential equations; see the monographs [1 5].
For details, see the monographs [1, 2].
Variational inequalities have extensively been investigated; see the monographs [2 6].
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