first-order differential operators
Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds
... The connection between quadratic estimates and the existence of a bounded holo- morphic functional calculus of an operator provides a framework for applying har- monic analysis to the theory of differential ...
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Low Dimensional Homology Groups of the Orthosymplectic Lie Superalgebra $\osp(1,2)$
... of first order differential operators and endow it with the Lie superbracket of vector fields to determine the basis (co)cycles of low dimensional (co)homology groups of osp ( 1, 2 ) with ...
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BOUNDEDLY SOLVABILITY OF FIRST ORDER DELAY DIFFERENTIAL OPERATORS WITH PIECEWISE CONSTANT ARGUMENTS
... by first order delay differential-operator ex- pression with piecewise constant argument in the Hilbert space of vector-functions at finite ...
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Methods for deriving conservation laws
... laws, depending on an arbitrary number of derivatives , are found for a gene ral first order quasi-linear equation in two independent variables, using two differential operators, which a[r] ...
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Differential Sandwich Theorems of Analytic Functions Defined by Linear Operators
... the differential superordination ...the differential superordination (4) if q (z) ≺ p (z) for all p (z) satisfying ...of first order differential superordinations as well as ...
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Special Classes of H_b-Matrices
... Hoskova, Modelling of join spaces with proximities by first-order linear partial differential operators , Ital.. Corsini, Prolegomena of Hypergroup Theory , Aviani Editore, 1993.[r] ...
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Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient
... We make a note on how the two methods are applied in a nested iteration (cf. [12, 48]), as this is often useful in practice to obtain an initial approxi- mation on a fine grid. In the nested iteration, approximations are ...
29
Differential inequalities and comparison theorems for first order hybrid integro-differential equations
... Proof. Now, the HIDE (1.1) is equivalent to hybrid integral equation (3.4) defined on J . Let E = C(J, R ). Define three operators A and B on [a, b] by (3.5) and (3.6) respectively. Then the integral equation ...
20
Inverse spectral problems for first order integro-differential operators
... recovering operators from their spectral ...higher order differential operators [–] and other classes of differential ...nonlocal operators, inverse problems are more difficult to investigate, ...
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Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators
... We use a recent Schauder-type result for discontinuous operators in order to look for solutions for first-order differential equations subject to initial functional conditions. We show how this ...
10
Ger type and Hyers Ulam stabilities for the first order linear differential operators of entire functions
... GER-TYPE AND HYERS-ULAM STABILITIES FOR THE FIRST-ORDER LINEAR DIFFERENTIAL OPERATORS OF ENTIRE FUNCTIONS TAKESHI MIURA, GO HIRASAWA, and SIN-EI TAKAHASI Received 22 April 2003.. Dedicat[r] ...
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Application of Eigenvalues and Eigenvectors to Systems of First Order Differential Equations
... _____________________________________________________________________________________________________ Abstract - This paper provides a method for solving systems of first order ordinary differential ...
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Oscillation of fourth-order neutral differential equations with p-Laplacian like operators
... Remark . We point out that, contrary to [, Theorem .], Theorem . does not need restrictive conditions (.) and can ensure that all solutions of equation (.) oscillate, which, in a certain sense, is a ...
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Properties of higher order half linear functional differential equations with noncanonical operators
... Over the past few years, there has been much research activity concerning the oscillation and asymptotic behavior of various classes of differential equations; we refer the reader to [–] and the references cited ...
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Nonlinear multigrid methods for second order differential operators with nonlinear diffusion coefficient
... where the comparisons are limited to specific applications. In this paper we present a more general framework for comparing the relative efficiency of the Newton-MG and FAS methods for a broad class of nonlinear problems. ...
30
Notes on the Solutions of the First Order Quasilinear Differential Equations
... Applying polar (spherical) coordinates, the boundedness and oscillatority of the 1,2 (1,2,3)-nontrivial solutions x(t) of systems of two (three) first order quasi- linear differential equations have ...
7
On bounds for solutions of monotonic first order difference differential systems
... Further iterations are possible and this gives a convergent sequence of upper and lower bounds under the conditions of Theorems 5 and 6 and provided that Perron- Kreuser theorem holds (which implies that the recurrence ...
17
Boundary Value Problem of First Order Random Differential Inclusions
... The method of upper and lower solutions has been successfully applied to study the existence of multiple solutions for initial and boundary value problems of first and second order differential ...
7
Numerical Solution of Differential Equations
... common differential equations. The first relates the displacement along a one- dimensional path, s, to the velocity, v; the second, which is Newton’s second law relates the displacement to the applied force ...
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Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions
... even order quasi-differential expres- sions are known both for the regular and the singular cases, see [] and in particular [], Theorem for the regular ...
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