Results 41 to 50 of about 5,801,457 (341)
A Theorem of Galambos-Bojanić-Seneta Type
In the theorems of Galambos-Bojanić-Seneta's type, the asymptotic behavior of the functions 𝑐[𝑥],𝑥≥1, for 𝑥→+∞, is investigated by the asymptotic behavior of the given sequence of positive numbers (𝑐𝑛), as 𝑛→+∞ and vice versa.
Dragan Djurčić, Aleksandar Torgašev
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In this article we discuss some of the qualitative properties of fractional difference operators. We especially focus on the connections between the fractional difference operator and the monotonicity and convexity of functions.
L. Erbe+3 more
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Asymptotic Behavior of the Nonlinear Schrödinger Equation with Harmonic Trapping [PDF]
We consider the cubic nonlinear Schrödinger equation with harmonic trapping on ℝD (1 ≤ D ≤ 5). In the case when all directions but one are trapped (aka “cigar‐shaped trap”), we prove modified scattering and construct modified wave operators for small ...
Z. Hani, Laurent Thomann
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Asymptotic Behavior of Certain Integrodifferential Equations
This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: atx′t′=e(t)+∫ct(t-s)α-1k(t,s)f(s,x(s))ds, c>1 ...
Said Grace, Elvan Akin
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Asymptotic Behavior of Automatic Quadrature
The computational cost of automatic quadrature programs is analyzed under the hypothesis of exactness (or asymptotic consistence) of local error estimates. The complexity measure used, in this work, is the number N of function evaluations in real exact arithmetic seen as a function of :he number E of exact decimal digits in the result.
ROMANI, FRANCESCO+3 more
openaire +3 more sources
On the phase structure of vector-matrix scalar model in four dimensions
The leading-order equations of the $$1/N$$ 1/N – expansion for a vector-matrix model with interaction $$g\phi _a^*\phi _b\chi _{ab}$$ gϕa∗ϕbχab in four dimensions are investigated.
V. E. Rochev
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam+2 more
wiley +1 more source
Existence, Uniqueness and Asymptotic Behavior of Solutions for Semilinear Elliptic Equations
A class of semilinear elliptic differential equations was investigated in this study. By constructing the inverse function, using the method of upper and lower solutions and the principle of comparison, the existence of the maximum positive solution and ...
Lin-Lin Wang+2 more
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Asymptotic Behavior of a Tumor Angiogenesis Model with Haptotaxis
This paper considers the existence and asymptotic behavior of solutions to the angiogenesis system p t = Δ p − ρ ∇ · ( p ∇ w ) + λ p ( 1 − p ) , w t = − γ p w β in a bounded smooth domain Ω ⊂ R N ( N = 1 , 2 ) , where ...
Chi Xu, Yifu Wang
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Developing process parameters for the laser‐based Powder Bed Fusion of metals can be a tedious task. Based on melt pool depth, the process parameters are transferable to different laser scan speeds. For this, understanding the melt pool scaling behavior is essential, particularly for materials with high thermal diffusivity, as a change in scaling ...
Markus Döring+2 more
wiley +1 more source