Results 61 to 70 of about 4,102,538 (267)
Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley +1 more source
Iterative approximation of a solution of a general variational-like inclusion in Banach spaces
We introduce a class of η-accretive mappings in a real Banach space and show that the η-proximal point mapping for η-m-accretive mapping is Lipschitz continuous.
C. E. Chidume, K. R. Kazmi, H. Zegeye
doaj +1 more source
Real and complex integral closure, Lipschitz equisingularity and applications on square matrices
Recently the authors investigated the Lipschitz triviality of simple germs of matrices. In this work, we improve some previous results and we present an extension of an integral closure result for the real setting.
da Silva, Thiago F. +2 more
core
Approximate amenability of Schatten classes, Lipschitz algebras and second duals of Fourier algebras
Amenability of any of the algebras described in the title is known to force them to be finite-dimensional. The analogous problems for \emph{approximate} amenability have been open for some years now.
Choi, Yemon, Ghahramani, Fereidoun
core +2 more sources
ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Approximation Theorem for New Modification of q-Bernstein Operators on (0,1)
In this work, we extend the works of F. Usta and construct new modified q-Bernstein operators using the second central moment of the q-Bernstein operators defined by G. M. Phillips.
Yun-Shun Wu +3 more
doaj +1 more source
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class. From his findings it turned out, that the conditions on sine and cosine coefficients for belonging of function to Lip α(0 < α < 1) are the same ...
Tikhonov, Sergey Yu. +1 more
core
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Bi-Lipschitz Mappings and Quasinearly Subharmonic Functions
After considering a variant of the generalized mean value inequality of quasinearly subharmonic functions, we consider certain invariance properties of quasinearly subharmonic functions.
Oleksiy Dovgoshey, Juhani Riihentaus
doaj +1 more source
On recursive estimation for time varying autoregressive processes
This paper focuses on recursive estimation of time varying autoregressive processes in a nonparametric setting. The stability of the model is revisited and uniform results are provided when the time-varying autoregressive parameters belong to appropriate
Moulines, Eric +2 more
core +1 more source

