Results 21 to 30 of about 35,999 (265)
MathematicsThe asymptotic behavior of solutions to nonlinear partial differential equations is an important tool for studying their long-term behavior. However, when studying the asymptotic behavior of solutions to nonlinear partial differential equations with ...
Huanzhi Ge, Feng Du
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Asymptotic Behavior of Certain Integrodifferential Equations
Discrete Dynamics in Nature and Society, 2016 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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The asymptotic behavior of a family of sequences [PDF]
Pacific Journal of Mathematics, 1987 A class of sequences defined by nonlinear recurrences involving the greatest integer function \([.]\) is studied, a typical member of the class being \(a(0)=1\), \(a(n)=a([n/2])+a([n/3])+a([n/6])\) for \(n\geq 1\). For this sequence, it is shown that \(\lim a(n)/n\) as \(n\to \infty\) exists and equals \(12/(log 432)\). More generally, for any sequence
Erdős, P. +4 more
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Asymptotic behavior of retarded differential equations
International Journal of Mathematics and Mathematical Sciences, 1987 Some integral criteria for the asymptotic behavior of oscillatory solutions of higher order retarded differential equations are given.
Cheh-Chih Yeh
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ON THE ASYMPTOTIC BEHAVIOR OF THE LINEARITY DEFECT [PDF]
Nagoya Mathematical Journal, 2017 This work concerns the linearity defect of a module $M$ over a Noetherian local ring $R$, introduced by Herzog and Iyengar in 2005, and denoted $\text{ld}_{R}M$. Roughly speaking, $\text{ld}_{R}M$ is the homological degree beyond which the minimal free resolution of $M$ is linear.
Nguyen, Hop D., Vu, Thanh
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FEBS Open Bio, EarlyView.Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
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Existence, Uniqueness and Asymptotic Behavior of Solutions for Semilinear Elliptic Equations
MathematicsA 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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On the phase structure of vector-matrix scalar model in four dimensions
European Physical Journal C: Particles and Fields, 2018 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
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.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
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
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