Results 41 to 50 of about 157 (145)

Solutions of Inhomogeneous Multiplicatively Advanced ODEs and PDEs with a q‐Fredholm Theory and Applications to a q‐Advanced Schrödinger Equation

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
For q > 1, a new Green’s function provides solutions of inhomogeneous multiplicatively advanced ordinary differential equations (iMADEs) of form y(N)(t) − Ay(qt) = f(t) for t ∈ [0, ∞). Such solutions are extended to global solutions on ℝ. Applications to inhomogeneous separable multiplicatively advanced partial differential equations are presented ...
David W. Pravica, Njinasoa Randriampiry, Michael J. Spurr, Paul Eloe   +3 more
wiley   +1 more source

Double‐Scale Expansions for a Logarithmic Type Solution to a q‐Analog of a Singular Initial Value Problem

Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.
We examine a linear q−difference differential equation, which is singular in complex time t at the origin. Its coefficients are polynomial in time and bounded holomorphic on horizontal strips in one complex space variable. The equation under study represents a q−analog of a singular partial differential equation, recently investigated by the author ...
Stéphane Malek, Rosanna Manzo
wiley   +1 more source

Gevrey Classes on Compact Real Analytic Riemannian Manifolds

Tokyo Journal of Mathematics, 1995
The authors study Gevrey classes on compact real analytic Riemannian manifolds \(X\) (without boundary) characterizing them by means of the growth behaviour of the coefficients of eigenfunctions expansions for the Laplace-Beltrami operator corresponding to the metric \(g\) of \(X\). Special attention paid to the case \(X\) is the \(n\)-dimensional unit
FUJITA, Keiko, MORIMOTO, Mitsuo
openaire   +3 more sources

Existence of solutions for stress-rate type strain-limiting viscoelasticity in Gevrey spaces. [PDF]

Philos Trans A Math Phys Eng Sci, 2023
Bachmann L, De Anna F, Schlömerkemper A, Şengül Y.   +3 more
europepmc   +1 more source

Cauchy problem for hyperbolic systems in Gevrey class. A note on Gevrey indices [PDF]

Annales de la Faculté des sciences de Toulouse : Mathématiques, 2000
The author considers the hyperbolic system \[ \begin{gathered} [I_4 D_t+ A(t) D_x+ B(t)]u(t,x)= 0,\\ u(0,x)= u_0(x)\end{gathered} \] in \(\Omega= [0,T]\times \mathbb{R}^1_x\) where \(I_4\) denotes the unit matrix of order 4 and \[ A(t)= \begin{pmatrix} \lambda(t) & 1 & 0 & 0\\ 0 &\lambda(t) & a(t) & 0\\ 0 & 0 & \mu(t) & 1\\ 0 & 0 & 0 & \mu(t)\end ...
openaire   +2 more sources

Ultradifferentiable classes of entire functions. [PDF]

Adv Oper Theory, 2023
Nenning DN, Schindl G.
europepmc   +1 more source

Global solutions of aggregation equations and other flows with random diffusion. [PDF]

Probab Theory Relat Fields, 2023
Rosenzweig M, Staffilani G.
europepmc   +1 more source

Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors. [PDF]

Results Math, 2023
Jiménez-Garrido J, Miguel-Cantero I, Sanz J, Schindl G.   +3 more
europepmc   +1 more source

Double exponential quadrature for fractional diffusion. [PDF]

Numer Math (Heidelb), 2023
Rieder A.
europepmc   +1 more source

Extending wavelet regularity beyond Gevrey classes

We construct a smooth orthonormal wavelet $ψ$ such that both $ψ$ and its Fourier transform $\widehatψ$ belong to the extended Gevrey class $\mathcal{E}_σ(\mathbb{R})$ for $σ> 1$, providing an example that lies beyond all classical Gevrey classes. Our approach uses the idea of invariant cycles to extend the initial Lemarié-Meyer support of the low ...
Tomić, Filip, Tutić, Stefan, Žigić, Milica   +2 more
openaire   +2 more sources