Results 61 to 70 of about 4,637,247 (289)
Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem
ABSTRACT For a generalization of the Gellerstedt operator with mixed‐type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem.
Olimpio Hiroshi Miyagaki+2 more
wiley +1 more source
We study superprojective Banach spaces. We show that they cannot contain copies of ?1, which restricts the search for non-reflexive examples of these spaces. We also show that the class of superprojective spaces is stable under finite products, certain unconditional sums, certain tensor products, and other operations, providing new examples.
González Ortiz, Manuel+1 more
openaire +3 more sources
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley +1 more source
Stochastic processes on totally disconnected topological groups
Stochastic processes on totally disconnected topological groups are investigated. In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces.
S. V. Ludkovsky
doaj +1 more source
Tensor products of abstract Besov spaces
We prove the interpolation theorem for tensor products of abstract Besov spaces, associated with closed operators in Banach spaces and show its application to the problems of approximations of elements of tensor products of Banach spaces.
M. I. Dmytryshyn
doaj +1 more source
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson+2 more
wiley +1 more source
t-Best Proximity Pair in Fuzzy Normed Spaces
This study has considered the problem of finding best proximity pair in fuzzy metric spaces and uniformly convex fuzzy Banach spaces for fuzzy cyclic contraction map. We prove the uniqueness of this point in uniformly fuzzy Banach spaces. We also give
H. R. Khademzadeh, H. Mazaheri
doaj
2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness
Abstract The authors show that a large class of 2‐adic Schrödinger equations is the scaling limit of certain continuous‐time quantum Markov chains (CTQMCs). Practically, a discretization of such an equation gives a CTQMC. As a practical result, new types of continuous‐time quantum walks (CTQWs) on graphs using two symmetric matrices are constructed ...
W. A. Zúñiga‐Galindo
wiley +1 more source
In this paper, we discuss fixed point theorems for a new χ-set contraction condition in partially ordered Banach spaces, whose positive cone K $\mathbb{K}$ is normal, and then proceed to prove some coupled fixed point theorems in partially ordered Banach
Hemant Kumar Nashine+3 more
doaj +1 more source
Delayed High Order Sliding Mode Control Using Implicit Lyapunov Function Approach
ABSTRACT This article presents a novel delayed high‐order sliding mode control strategy supported by dedicated mathematical tools. Building on the implicit Lyapunov–Razumikhin function method for establishing accelerated (hyperexponential) stability in time‐delay systems and the design of high‐order sliding mode controls for chain of integrators, we ...
Moussa Labbadi, Denis Efimov
wiley +1 more source