Results 71 to 80 of about 33,163 (207)

Stochastic functional differential equations driven by L\'{e}vy processes and quasi-linear partial integro-differential equations

, 2012
In this article we study a class of stochastic functional differential equations driven by L\'{e}vy processes (in particular, $\alpha$-stable processes), and obtain the existence and uniqueness of Markov solutions in small time intervals.
Zhang, Xicheng
core   +1 more source

ENSO Recharge Oscillator Theory Integrating the Southward Wind Shift

Geophysical Research Letters, Volume 53, Issue 8, 28 April 2026.
Abstract The El Niño–Southern Oscillation (ENSO) is one of the most‐well understood climate phenomena, and the Recharge Oscillator (RO) theory is widely used to conceptualize its physics in observations and models. ENSO‐associated equatorial zonal wind anomalies shift southward in boreal winter, contributing to ENSO termination.
Tomoki Iwakiri, Malte F. Stuecker, Fei‐Fei Jin, Sen Zhao   +3 more
wiley   +1 more source

Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization

International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.
We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
wiley   +1 more source

A Peridynamic Framework for Modeling Progressive Failure in Porous Sandstone Indentation

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 6, Page 2727-2743, 25 April 2026.
ABSTRACT A state‐based peridynamic model is proposed to simulate the failure mechanisms in porous rocks, using Bentheim sandstone as a specific example. Experimental observations reveal a transition from brittle to ductile failure under increasing triaxial compression. This behavior is attributed to pore compaction. The peridynamic model is enhanced to
Sahir N. Butt, Jörg Renner, Günther Meschke   +2 more
wiley   +1 more source

Three-dimensional integro-multipoint boundary value problem for loaded Volterra-hyperbolic integro-differential equations of Bianchi type

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
In this paper the combined three-dimensional non-local boundary value problem with integro-multipoint conditions for loaded volterra-hyperbolic integro-differential equation of Bianchi type is explored.
Ilgar G Mamedov
doaj   +3 more sources

Numerical approximations for population growth model by Rational Chebyshev and Hermite Functions collocation approach: A comparison

, 2010
This paper aims to compare rational Chebyshev (RC) and Hermite functions (HF) collocation approach to solve the Volterra's model for population growth of a species within a closed system.
Al-Khaled, Boyd, Boyd, Boyd, Boyd, Boyd, Christov, Coulaud, Funaro, Funaro, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Guo, Iranzo, Liu, Maday, Marzban, Momani, Parand, Parand, Parand, Parand, Parand, Parand, Parand, Parand, Ramezani, Scudo, Shen, Shen, Shen, Shen, Siyyam, Small, Tang, TeBeest, Wazwaz, Xu   +42 more
core   +1 more source

Non‐Markovian Exceptional Points in Waveguide Quantum Electrodynamics

Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.
Non‐Markovian waveguide‐QED systems exhibit dynamical transitions governed by exceptional points arising from retardation and interference. Giant atoms and spatially separated emitters display oscillatory relaxation and real zeros in the excited‐state amplitude at critical delay times.
Stefano Longhi
wiley   +1 more source

On the behavior of the solutions for certain neutral delay integro-differential equations [PDF]

E-Journal of Analysis and Applied Mathematics
Some results are given on the behavior of solutions of scalar linear and constant coefficient neutral delay integro-differential equations. These results are obtained using two different real roots of the relevant characteristic equation.
Ali Fuat Yeniçerioglu
doaj   +1 more source

Designing networks of freshwater and marine conservation areas accounting for cross‐realm connectivity and threat propagation

Journal of Applied Ecology, Volume 63, Issue 4, April 2026.
This study highlights the importance of integrating cross‐realm connectivity and threat propagation when designing new or expanding existing networks of conservation areas, such as the Natura 2000 European network of protected areas. These findings emphasize the need for multirealm planning that supports species persistence, protects transitional ...
Maria Vigo, Vasiliki Markantonatou, Virgilio Hermoso, Maria Papazekou, Elina Tragou, Stelios Katsanevakis, Sylvaine Giakoumi   +6 more
wiley   +1 more source

Adjoint systems and Green functionals for second-order linear integro-differential equations with nonlocal conditions

Electronic Journal of Differential Equations, 2015
In this work, we generalize so called Green's functional concept in literature to second-order linear integro-differential equation with nonlocal conditions. According to this technique, a linear completely nonhomogeneous nonlocal problem for a second-
Ali Sirma
doaj