Results 101 to 110 of about 341 (205)

Existence of Solutions of Semilinear Wave Equations With Time‐Dependent Propagation Speed and Time Derivative Nonlinearity

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 8681-8690, June 2026.
ABSTRACT Consider wave equations with time derivative nonlinearity and time‐dependent propagation speed which are generalized versions of the wave equations in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime, the de Sitter spacetime and the anti‐de Sitter space time.
Kimitoshi Tsutaya, Yuta Wakasugi
wiley   +1 more source

Chebyshev series: Derivation and evaluation. [PDF]

open access: yesPLoS One, 2023
Reynolds R, Stauffer A.
europepmc   +1 more source

The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9929-9947, June 2026.
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos   +1 more
wiley   +1 more source

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9967-9983, June 2026.
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley   +1 more source

Contour integral around a simple pole

open access: yes, 2016
Complex numbers, complex functions, singularity, analytic function, integrable functions, Cauchy's theoremThe function f(z) = 1/(z – z0) is analytic in the entire z plane, except for a simple pole at z=z0.
Blinder, S
core   +1 more source

Determinant solution for the Totally Asymmetric Exclusion Process with parallel update II. Ring geometry [PDF]

open access: yes, 2007
Using the Bethe ansatz we obtain the determinant expression for the time dependent transition probabilities in the totally asymmetric exclusion process with parallel update on a ring.
Povolotsky, A. M., Priezzhev, V. B.
core  

Elastoplasticity Informed Kolmogorov–Arnold Networks Using Chebyshev Polynomials

open access: yesInternational Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 8, Page 3331-3354, 10 June 2026.
ABSTRACT Multilayer perceptron (MLP) networks are predominantly used to develop data‐driven constitutive models for granular materials. They offer a compelling alternative to traditional physics‐based constitutive models in predicting non‐linear responses of these materials, for example, elastoplasticity, under various loading conditions. To attain the
Farinaz Mostajeran, Salah A. Faroughi
wiley   +1 more source

Free boundary dimers: random walk representation and scaling limit. [PDF]

open access: yesProbab Theory Relat Fields, 2023
Berestycki N, Lis M, Qian W.
europepmc   +1 more source

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