Results 31 to 40 of about 691,926 (188)
RG flows of Quantum Einstein Gravity on maximally symmetric spaces [PDF]
We use the Wetterich-equation to study the renormalization group flow of $f(R)$-gravity in a three-dimensional, conformally reduced setting. Building on the exact heat kernel for maximally symmetric spaces, we obtain a partial differential equation which
Demmel, Maximilian +2 more
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Hyers-Ulam-Rassias Stability for a First Order Functional Differential Equation
In this paper, by using the fixed point method, we prove two new results on the Hyers-Ulam-Rassias and the Hyers-Ulam stability for the first order delay differential equation of the form y′(t) = F(t, y(t), y(t −τ )).
Cemil Tunç, Emel Biçer
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Approximation of Fractional Order Conflict-Controlled Systems [PDF]
We consider a conflict-controlled dynamical system described by a nonlinear ordinary fractional differential equation with the Caputo derivative of an order $\alpha \in (0, 1).$ Basing on the finite-difference Gr\"{u}nwald-Letnikov formulas, we propose ...
Gomoyunov, Mikhail
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Analytic solution of certain second-order functional differential equation
We consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x″(x[r](z))=c0z2+c1(x(z))2+(c2x[2](z))2+⋯+cm(x[m](z))2, m,r≥0.
Theeradach Kaewong, Piyapong Niamsup
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RADIATIVE DAMPING AND FUNCTIONAL DIFFERENTIAL EQUATIONS [PDF]
We propose a general technique to solve the classical many-body problem with radiative damping. We modify the short-distance structure of Maxwell electrodynamics. This allows us to avoid runaway solutions as if we had a covariant model of extended particles.
Raju, Suvrat, Raju, C. K.
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In this work we consider a partial integro-differential equation. We reformulate it a functional integro-differential equation in a suitable Hilbert space. We apply the method of lines to establish the existence and uniqueness of a strong solution.
Dhirendra Bahuguna, J. Dabas
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Existence of solutions for quasilinear random impulsive neutral differential evolution equation
This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
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Operator equations and Moyal products -- metrics in quasi-hermitian quantum mechanics
The Moyal product is used to cast the equation for the metric of a non-hermitian Hamiltonian in the form of a differential equation. For Hamiltonians of the form $p^2+V(ix)$ with $V$ polynomial this is an exact equation.
Bender +23 more
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Weak solutions to problems involving inviscid fluids
We consider an abstract functional-differential equation derived from the pressure-less Euler system with variable coefficients that includes several systems of partial differential equations arising in the fluid mechanics.
C Audiard +14 more
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Green’s Functions for Reducible Functional Differential Equations [PDF]
Preprint
Cabada, Alberto, Tojo, F. Adrián F.
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