the differential 
In particular, we show that the differential Galois group of this eigenvalue problem is reductive at generic eigenvalues.


This implies that a system is algebraically integrable (i.e., its eigenvalue problem is explicitly solvable in quadratures) if and only if the differential Galois group is commutative for generic eigenvalues.


Of special interest are the Mellin operators of differentiation and integration, more correctly of antidifferentiation, enabling one to establish the fundamental theorem of the differential and integral calculus in the Mellin frame.


It is shown that there is a similar identity when the inner product is replaced by an indefinite quadratic formq and h is a Лharmonic distribution, where Л is the differential operator canonically associated toq.


The minimum energy solutions of the differential equations are proven to correspond to the tight frames that minimize the error term.


In this paper, we investigate the complex oscillation of the differential equationf"+B1f'+B0f=F, whereB0,B1,F≠0 are finite order meromorphic functions having only finitely many poles and the order ofB1 is larger than that ofB0.


In this paper, a class of singular perturbation of nonlocal boundary value problems for elliptic partial differential equations of higher order is considered by using the differential inequalities.


And then the uniform validity of solution is proved by using the differential inequalities.


Finally, by the differential equation, the defective renewal equation and the explicit expression for the expected value are given in the interestfree case


This article deals with the reflecting function of the differential systems.


Although the quantitation error becomes very large when used beyond this range, it does not affect the derivation of information on the differential proteins.


In particular, the differential thermal analysis curves for the decomposition of CeO2 nanocrystalline precursor were measured at different heating rates in air by a thermal analyzer (NETZSCH STA 449C, Germany).


By using the coding properties and statistic properties of the plaintext, the differential properties of the key stream sequences generated by a nonlinear combined generator were analyzed.


At last, an attack example adopting the differential attack algorithm was presented.


Numerical results of the lubrication show that the differential viscosity is the principal nonNewtonian property affecting the lubrication, it is determined by the material parameters of the lubricant and is affected by the shearing rate.


The reaction kinetic parameters are benchmarked with several sets of balanced plant data and estimated by the differential variable metric optimization method (BFGS).


Effects of severe deformation and heat treatment on the transformation behaviors of explosively welded duplex TiNi/TiNi shape memory alloys (SMAs) were investigated by the differential scanning calorimeter (DSC).


A method for specifying the differential equations with a discontinuous righthand side was proposed.


An algorithm of the protective transformation on the basis of controllable operations is given and its high stability to the differential analysis is shown.


The differentialgeometrical structure of this component was studied.

