Results 61 to 70 of about 14,005 (202)

An Algorithm for the Solution of Nonlinear Volterra–Fredholm Integral Equations with a Singular Kernel

open access: yesFractal and Fractional, 2023
The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim   +3 more
doaj   +1 more source

Existence and stability of a class of nonlinear Volterra integral equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1970
In this paper we study the problem of existence and uniqueness to solutions of the nonlinear Volterra integral equation x = f + a 1 g 1 ( x ) + ⋯ + a
openaire   +2 more sources

Linking Biotic Interactions to Species Stability

open access: yesEcology Letters, Volume 29, Issue 4, April 2026.
We develop a unifying framework that predicts how species respond to environmental disturbances by linking species‐level stability to a single quantity: self‐regulation loss (SL). Using analytical results, simulations, and experimental protist communities, we show that SL accurately predicts both sensitivity to press disturbances and recovery from ...
Ismaël Lajaaiti   +4 more
wiley   +1 more source

A Dynamical Model for the Shallow‐to‐Deep Transition of Amazonian Moist Atmospheric Convection

open access: yesJournal of Geophysical Research: Atmospheres, Volume 131, Issue 5, 16 March 2026.
Abstract The development of deep convection and the timing of storm convection initiation over land are generally poorly represented by weather and climate models, probably due to the poor representation of the interaction between shallow and deep convection.
Cristian V. Vraciu
wiley   +1 more source

Regularization of Nonlinear Volterra Integral Equations of the First Kind with Smooth Data

open access: yesAppliedMath
The paper investigates the regularization of solutions to nonlinear Volterra integral equations of the first kind, under the assumption that a solution exists and belongs to the space of continuous functions.
Taalaibek Karakeev, Nagima Mustafayeva
doaj   +1 more source

On Monotonic and Nonnegative Solutions of a Nonlinear Volterra-Stieltjes Integral Equation

open access: yesJournal of Function Spaces, 2014
We study the existence of monotonic and nonnegative solutions of a nonlinear quadratic Volterra-Stieltjes integral equation in the space of real functions being continuous on a bounded interval. The main tools used in our considerations are the technique
Tomasz Zając
doaj   +1 more source

Behavioral Cobweb Dynamics With Anticipatory Inventory and Ulam Stability: An Integro‐Differential Approach

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2463-2473, 15 March 2026.
ABSTRACT This paper proposes a novel extension of the classical cobweb price model by incorporating behavioral inventory responses through an anticipatory mini‐storage mechanism. In many real‐world commodity markets, persistent price oscillations occur even when classical stability conditions are theoretically satisfied, an inconsistency traditional ...
M. Anokye   +6 more
wiley   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

open access: yesFEBS Letters, Volume 600, Issue 6, Page 808-836, March 2026.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo   +2 more
wiley   +1 more source

Analysis of a duffing oscillator that exhibits hysteresis with varying excitation frequency and amplitude [PDF]

open access: yes, 2007
Hysteresis, or jump phenomenon, are a common and severe nonlinear behaviour associated with the Duffing oscillator and the multi-valued properties of the response solution.
Billings, S.A., Li, L.M.
core   +1 more source

Modeling and Optimization of Frequency‐Doubled Radio‐Over‐Fiber Link Based on Deep Learning Technique

open access: yesAdvanced Photonics Research, Volume 7, Issue 3, March 2026.
This article proposes a deep learning (DL) approach for modeling and optimizing frequency‐doubled radio‐over‐fiber links. By collectively replacing traditional components with DL model, accurate system evaluation is achieved. Moreover, through an end‐to‐end architecture, performance optimization is accomplished.
Difei Shi   +3 more
wiley   +1 more source

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