Results 141 to 150 of about 484,592 (357)

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang   +5 more
wiley   +1 more source

Global existence and blow-up of solutions for parabolic systems with nonlinear nonlocal boundary conditions

open access: yesElectronic Journal of Differential Equations, 2013
In this article we study a nonlinear parabolic system with nonlinear nonlocal boundary conditions. We prove the uniqueness of the solutions and establish the conditions for global solutions and non-global solutions.
Zhou Sen, Zuodong Yang
doaj  

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis   +2 more
wiley   +1 more source

The One‐Dimensional Coulomb Hamiltonian: Properties of Its Birman–Schwinger Operator

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The objective of the present paper is to study in detail the properties of the Birman–Schwinger operator for a self‐adjoint realization of the one‐dimensional Hamiltonian with the Coulomb potential, both when the Hamiltonian is defined only on ℝ+$$ {\mathbb{R}}_{+} $$ and when it is defined on the whole real line.
S. Fassari   +4 more
wiley   +1 more source

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha   +2 more
wiley   +1 more source

Existence of Normalized Solutions of a Hartree–Fock System With Mass Subcritical Growth

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we are concerned with normalized solutions of a class of Hartree‐Fock type systems. By seeking the constrained global minimizers of the corresponding functional, we prove that the existence and nonexistence of normalized solutions.
Hua Jin   +3 more
wiley   +1 more source

Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions

open access: yesApplied Mathematics Letters, 2017
Abstract We consider summation equations having the form y ( t ) = γ ( t ) H ∑ i = 1 n α i y ξ i + λ ∑ s = 0 b G ( t , s ) f ( s , y ( s + 1 ) ) . By utilizing a new order cone, we are able to demonstrate the existence of at least one positive ...
openaire   +2 more sources

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