Results 21 to 30 of about 6,524,644 (115)
A Fixed Point Theorem In 2-Banach Space For Banach Contraction Principle [PDF]
, 2016 In This Paper we prove An Extension of Banach contraction principle through rational expression in 2-Banach space satisfying Three continuous mappings . Some result with S. banach (1922).
Priyanka Tyagi, Geeta Modi
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam +3 more
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A Fixed Point Theorem In 2-Banach Space For Non-Expansive Mapping [PDF]
, 2011 Our object in this paper to discuss about fixed point theory in 2-Banach space also we established a fixed point theorem in 2- Banach space which generalized the result of many ...
Gupta, Vishal, Tripathi, A.K.
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Stability for Periodic Solution for a Free‐Boundary Vascular Tumor Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A small coefficient ε=Tdiffusion/Tgrowth$$ \varepsilon ={T}_{\mathrm{diffusion}}/{T}_{\mathrm{growth}} $$ describing the relationship between nutrient diffusion and tumor growth is set to zero in many papers in the literature. If ε$$ \varepsilon $$ is not zero, the global asymptotic stability for radially symmetric periodic solutions was ...
Jingyi Liu, Bei Hu
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A Gauss–Newton Method for ODE Optimal Tracking Control
Optimal Control Applications and Methods, EarlyView.This paper presents a Gauss–Newton method for optimal tracking control of ordinary differential equations (ODEs). The approach formulates the problem as an infinite‐dimensional optimization problem, allowing both control functions and uncertain model parameters to be optimized.
Vicky Holfeld +2 more
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Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation
Quarterly Journal of the Royal Meteorological Society, EarlyView.A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan +3 more
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On Banach fixed point theorems for partial metric spaces [PDF]
, 2005 In this paper we prove several generalizations of the Banach fixed point theorem for partial metric spaces (in the sense of O’Neill) given in, obtaining as a particular case of our results the Banach fixed point theorem of Matthews ([12]), and some well ...
Valero, Oscar, Oscar Valero
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Spectral Submanifolds of Delay Systems: Control in Continuous and Discrete Time
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT This paper presents both continuous‐time and discretization‐based approaches for constructing spectral submanifolds (SSMs) for time delay systems. The continuous‐time approach built upon sun–star calculus, reformulates the governing delay differential equation (DDE) as an operator differential equation (OpDE).
Bence Szaksz +2 more
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