Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng +3 more
wiley +1 more source
On the Convergence of the Approximate Solution to the Optimization Problem for Oscillatory Processes
This article addresses the non-linear optimization problem of oscillatory processes governed by partial integro-differential equations involving a Fredholm integral operator. A distinctive feature of the problem is that both the objective functional and
E.F. Abdyldaeva +3 more
doaj +1 more source
General note on the theorem of Stampfli
It is well known that for every bounded operator A in L ( H ) $L(H)$ , there exists a compact operator K in K ( H ) $K(H)$ such that the Weyl spectrum σ W ( A ) $\sigma_{W}(A)$ of the operator A coincides with the spectrum σ ( A + K ) $\sigma(A+K)$ of ...
Cheniti Bensalloua, Mostefa Nadir
doaj +1 more source
Optimal Portfolio Choice With Cross‐Impact Propagators
ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber +2 more
wiley +1 more source
Introduction to Fredholm, Toeplitz and Hankel Operator [PDF]
The whole discussion of the thesis is about Fredholm; Toeplitz; and Hankel operator. Atkinson0s theorem gives an equivalent de_nition of Fredholm operator, there we get a relation between Compact and Fredholm operator. We will learn the Calkin algebra on
D, Sukumar, Roy, Subhajit
core
The Atkinson Theorem in Hilbert C*-Modules over C*-Algebras of Compact Operators
The concept of unbounded Fredholm operators on Hilbert C*-modules over an arbitrary C*-algebra is discussed and the Atkinson theorem is generalized for bounded and unbounded Feredholm operators on Hilbert C*-modules over C*-algebras of compact operators.
A. Niknam, K. Sharifi
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On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
doaj +1 more source
Inverse problems for semilinear elliptic PDE with a general nonlinearity a(x,u)$a(x,u)$
Abstract This article studies the inverse problem of recovering a nonlinearity in an elliptic equation Δu+a(x,u)=0$\Delta u + a(x,u) = 0$ from boundary measurements of solutions. Previous results based on first‐order linearization achieve this under a sign condition on ∂ua(x,u)$\partial _u a(x,u)$, and results based on higher order linearization ...
David Johansson +2 more
wiley +1 more source
The Legendrian Hopf link has exactly two Lagrangian fillings
Abstract We prove that there are precisely two embedded exact Lagrangian fillings of the standard Legendrian Hopf link, up to compactly supported Hamiltonian isotopy. It was known that the standard Legendrian Hopf link admitted at least two such Lagrangian fillings: we show these are all.
Bryce Thomson
wiley +1 more source
Non‐Central Wishart Random Matrices in Structural Dynamics: A Modal‐Basis Approach
ABSTRACT This article develops a non‐parametric stochastic computational model for linear structural dynamics based on a reduced non‐central Wishart (NCW) random matrix formulation. The objective is to represent uncertainty in the mass and stiffness matrices while preserving the matrix properties required for modal and frequency‐domain analysis ...
Alan Das Mannoosseril +2 more
wiley +1 more source

