Results 81 to 90 of about 219,754 (206)
Funkcialaj Ekvacioj, 2007 For abstract functional differential equations (FDE) and Volterra difference equations (VDE) in a Banach space, the local existence and smoothness of invariant manifolds, such as stable/unstable manifolds, center-stable/center-unstable manifolds and center manifolds, are established by means of the variation of constants formula in the phase space in ...
Satoru Murakami, Yutaka Nagabuchi
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CSF Monoamine Metabolites and Cognitive Trajectory in Early Parkinson's Disease
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Imaging and postmortem studies indicate that abnormalities in monoaminergic neurotransmission contribute to cognitive impairment in Parkinson's disease (PD). However, it remains uncertain if cerebrospinal fluid (CSF) monoamine metabolites can serve as biomarkers of cognitive decline in early PD.
Jing‐Yu Shao +7 more
wiley +1 more source
Mixed Monotone Iterative Technique for Abstract Impulsive Evolution Equations in Banach Spaces
Journal of Inequalities and Applications, 2010 By constructing a mixed monotone iterative technique under a new concept of upper and lower solutions, some existence theorems of mild -periodic ( -quasi) solutions for abstract impulsive evolution equations are obtained in ordered Banach spaces. These
Yang He
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Advances in Difference Equations, 2018 The aim of this work is to establish a new fixed point theorem for generalized contraction mappings with respect to w-distances in complete metric spaces. An illustrative example is provided to advocate the usability of our results.
Hassen Aydi +2 more
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Completely integrable differential equations in abstract spaces [PDF]
Acta Mathematica, 1935 Michal, A. D., Elconin, V.
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Journal of Mathematical Analysis and Applications, 1996 The authors deal with the abstract Cauchy problem \[ u^{(n)} (t)+ \sum^{n-1}_{k=0} A_ku^{(k)} (t)=0,\;t\geq 0,\;u^{(k)} (0)=u_k\;(0\leq k\leq n-1), \] where \(A_k\) are densely defined closed linear operators on a complex Hilbert space. Assuming that the problem is wellposed let \(S_0\), \(S_1, \dots, S_{n-1}\) be the mappings defined by \(S_k(t)x =u_k(
Jin, Liang, Tijun, Xiao
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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
wiley +1 more source
Advances in Difference Equations, 2018 In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces are established under more general conditions by constructing a special Banach space and using cone ...
Peiguo Zhang, Xinan Hao
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Ito's formula in UMD Banach spaces and regularity of solutions of the Zakai equation
, 2008 Using the theory of stochastic integration for processes with values in a UMD Banach space developed recently by the authors, an Ito formula is proved which is applied to prove the existence of strong solutions for a class of stochastic evolution ...
Brzezniak, Z. +3 more
core
Direct and inverse problems for linear relations
Bruno Pini Mathematical Analysis Seminar, 2013 Direct and inverse problem related to linear differential inclusions in Banach spaces are studied.The abstract results are applied to degenerate partial dierential equations of parabolic type.
Angelo Favini
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