Results 71 to 80 of about 4,163,759 (201)

Cauchy problem for derivors in finite dimension

Electronic Journal of Differential Equations, 2001
In this paper we study the uniqueness of solutions to ordinary differential equations which fail to satisfy both accretivity condition and the uniqueness condition of Nagumo, Osgood and Kamke.
Jean-Francois Couchouron, Claude Dellacherie, Michel Grandcolas   +2 more
doaj  

Heteroclinic Solutions for Classical and Singular ϕ-Laplacian Non-Autonomous Differential Equations

Axioms, 2019
In this paper, we consider the second order discontinuous differential equation in the real line, a t , u ϕ u ′ ′ = f t , u , u ′ , a . e . t ∈ R , u ( − ∞ ) = ν − , u ( + ∞ )
Feliz Minhós
doaj   +1 more source

An Overlapping One‐Step Multiderivative Hybrid Block Method for Solving Second‐Order Initial Value Problems

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a one‐step multiderivative hybrid block method of Order 12 that incorporates an overlapping strategy, in which intrastep points from the previous block are reused in the current step to enhance accuracy and stability when solving linear and nonlinear initial value problems.
Uthman O. Rufai, Precious Sibanda, Sicelo P. Goqo, Sandile Motsa, Theodore Simos   +4 more
wiley   +1 more source

Numerical Study of Fourth‐Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal, Syeda Tehmina Ejaz, Jihad Younis, M. I. Elashiry, Faizah D. Alanazi, Nikhil Khanna   +5 more
wiley   +1 more source

Propagation of chaos in neural fields

, 2014
We consider the problem of the limit of bio-inspired spatially extended neuronal networks including an infinite number of neuronal types (space locations), with space-dependent propagation delays modeling neural fields.
Touboul, Jonathan
core   +3 more sources

Existence results for singular nonlinear BVPs in the critical regime

Electronic Journal of Qualitative Theory of Differential Equations
We study the existence of solutions for a class of boundary value problems on the half line, associated to a third order ordinary differential equation of the type $$\left(\Phi(k(t, u'(t))u''(t))\right)'(t)=f \left(t, u(t), u'(t), u''(t) \right), \quad ...
Francesca Anceschi, Giuseppina Autuori, Francesca Papalini   +2 more
doaj   +1 more source

An Optimized Block Hybrid Spectral Simple Iteration Methods for Solving Nonlinear Evolution Equations

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai, Precious Sibanda, Sandile Motsa, Sicelo Goqo, Osman A. I. Noreldin   +4 more
wiley   +1 more source

Rapid‐Onset Therapeutic Effects of Delta Opioid Receptor Agonists on Depression‐Like Behaviors Induced by Chronic Social Defeat Stress

Neuropsychopharmacology Reports, Volume 45, Issue 4, December 2025.
Delta opioid receptor agonists improved social avoidance, depression, and anxiety‐like symptoms induced by chronic social defeat stress within 14 days of chronic administration. Furthermore, the therapeutic effects were observed earlier than with the existing antidepressant paroxetine (28 days).
Akihisa Tokuda, Yasuyuki Nagumo, Keita Kajino, Keita Iio, Katsuyasu Sakurai, Seiya Mizuno, Akiyoshi Saitoh, Tsuyoshi Saitoh, Hiroshi Nagase   +8 more
wiley   +1 more source

Highly synchronized noise-driven oscillatory behavior of a FitzHugh-Nagumo ring with phase-repulsive coupling

, 2007
We investigate a ring of $N$ FitzHugh--Nagumo elements coupled in \emph{phase-repulsive} fashion and submitted to a (subthreshold) common oscillatory signal and independent Gaussian white noises.
Deza, Roberto R., Izús, Gonzalo G., Sánchez, Alejandro D.   +2 more
core   +1 more source

Resolution of a persistent pneumothorax by blood patch pleurodesis in a cat (Felis catus) with primary pulmonary lymphoma

Veterinary Record Case Reports, Volume 13, Issue 4, December 2025.
Abstract An 18‐year‐old, spayed, female, domestic shorthair cat was presented to our hospital with acute dyspnoea following an episode of vomiting. Thoracic radiography revealed a severe pneumothorax. Despite multiple thoracocenteses, the pneumothorax persisted. Under general anaesthesia, computed tomography revealed multiple pulmonary masses.
Yuki Hoshino, Reina Fujiwara, Masaaki Katayama, Kohei Nakata, Takahiro Nagumo, Yumiko Kagawa   +5 more
wiley   +1 more source