Results 41 to 50 of about 68,019 (304)
We consider the principle of least action in the context of fractional calculus. Namely, we derive the fractional Euler–Lagrange equation and the general equation of motion with the composition of the left and right fractional derivatives defined on ...
Liana Eneeva +2 more
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Nonlinear Schrödinger equations with potentials vanishing at infinity [PDF]
In this Note, we deal with stationary nonlinear Schrödinger equations of the form − ε 2 Δ u + V
Bonheure, Denis, Van Schaftingen, Jean
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Asymptotically linear Schrödinger equation with potential vanishing at infinity
We are concerned with the existence of bound states and ground states of the following nonlinear Schrödinger equation(0.1){−Δu(x)+V(x)u(x)=K(x)f(u),x∈RN,u∈H1(RN),u(x)>0,N⩾3, where the potential V(x) may vanish at infinity, f(s) is asymptotically linear ...
Zhengping Wang +5 more
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Dialectical Infinity and the Third Mathematical Crisis —On the Fundamental Error of Actual Infinity
This paper discusses the problem of finity and infinity based on the philosophical perspectives of opposing idealism and receiving dialectical materialism.
Hong, Zhang
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Vestibular Patient Journey: Insights From Vestibular Disorders Association (VeDA) Registry
ABSTRACT Objective Vestibular symptoms impose a high burden of disability. Understanding real‐world diagnostic and treatment pathways can identify care gaps and guide interventions. We aimed to characterize symptom profiles, diagnostic trends, provider involvement, and treatment patterns in vestibular disorders.
Ali Rafati +10 more
wiley +1 more source
On the solvability of a higher-order semilinear ODE
The existence of at least one or two nontrivial solutions to a general higher-order boundary value problem is established by using variational tools. Two of the results are obtained without any asymptotic behaviour at infinity of potential $F$ of the ...
Cristian-Paul Danet
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An Infinity Tube with an Expansion Chamber for Noise Control in the Ductwork System
This paper proposes a muffler with simple geometry to effectively reduce low-frequency noise in ductwork systems. A muffler named infinity tube with an expansion chamber (ITEC) is developed from the infinity tube (IT).
Rong Xue +3 more
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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
Nieskończoność w matematyce. Zmagania z potrzebnym, acz kłopotliwym pojęciem
Infinity has appeared in mathematics since the very beginning. Moreover the mathematical concept of infinity was and is connected with philosophical and theological concepts.
Roman Murawski
doaj
3. Historical views of infinity
‘Historical views of infinity’ focuses on historical attitudes to infinity in philosophy, religion, and mathematics, including Zeno’s famous paradoxes. Infinity is not a thing, but a concept, related to the default workings of the human mind.
Ian Stewart
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