Results 31 to 40 of about 2,262,059 (281)

Regularised discretisations obtained from first‐kind Fredholm operator equations

IET Microwaves, Antennas & Propagation, 2021
Judicious discretisations of certain first‐kind Fredholm operator equations are tantamount to Fredholm infinite‐matrix equations of the second kind. We give detailed explanations for the occurrence of this interesting and useful phenomenon and carefully ...
George Fikioris
doaj   +1 more source

Neural Integral Equations

CoRR, 2022
16 + 26 pages, 18 figures and 10 tables. v5: Some additional experiments have been performed, some explanations and reference added. Article published on Nature Machine Intelligence with the more descriptive title: "Learning integral operators via neural integral equations"
Zappala, Emanuele, Fonseca, Antonio Henrique de Oliveira, Caro, Josue Ortega, Moberly, Andrew Henry, Higley, Michael James, Cardin, Jessica, van Dijk, David   +6 more
openaire   +3 more sources

Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations

Journal of Inequalities and Applications, 2009
We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
doaj   +2 more sources

A Unified Approach to Some Classes of Nonlinear Integral Equations

Journal of Function Spaces, 2014
We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and ...
Nurgali K. Ashirbayev, Józef Banaś, Raina Bekmoldayeva   +2 more
doaj   +1 more source

AN APPROXIMATE METHODS FOR SOLVING POLYSINGULAR INTEGRAL EQUATIONS IN DEGENERATE CASES

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. This work is devoted to the study of sets of functions in which the condition of unique solvability of degenerate polysingular integral equations is satisfied, and to the construction of approximate methods for solving polysingular integral
I. V. Boykov, N. Yu. Kudryashova, A. A. Shaldaeva   +2 more
doaj   +1 more source

Construction of Polynomial Lyapunov Functions Using Genetic Programming and Sparse Optimization

Journal of Optimization, Differential Equations and Their Applications
We propose a hybrid evolutionary-sparse optimization framework for the automated synthesis of polynomial Lyapunov functions certifying exponential stability of nonlinear autonomous systems on a prescribed compact domain.
Valentyn V. Sobchuk, Roman O. Pykhnivskyi   +1 more
doaj   +1 more source

TO THE QUESTION OF UNIQUENESS OF DEGENERATE SINGULAR INTEGRAL EQUATIONS SOLUTIONS

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. The work is devoted to the study of sets of functions in which the condition for the unique solvability of degenerate singular integral equations is satisfied.
I. V. Boykov, N. Yu. Kudryashova, A. A. Shaldaeva   +2 more
doaj   +1 more source

Central Nervous System Tumors Among Infants in Canada: A Report From CYP‐C

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) tumors in infants are rare, pose unique clinical challenges, and lack large‐scale evidence‐based data to guide management. This study seeks to describe CNS tumors in Canadian infants and to compare their outcomes with those of older children.
Samuel Sassine, Hallie Coltin, Sylvia Cheng, Lucie Lafay‐Cousin, Vanan Issai Magimairajan, Craig Erker, Stéphanie Vairy, Lynette Bowes, Adam Fleming, Donna Johnston, Sarah McKillop, Roona Sinha, Julie Bennett, Christina Coleman, Laura Wheaton, Shayna Zelcer, Samuele Renzi, Thai Hoa Tran   +17 more
wiley   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source

Integral Equations of Non-Integer Orders and Discrete Maps with Memory

Mathematics, 2021
In this paper, we use integral equations of non-integer orders to derive discrete maps with memory. Note that discrete maps with memory were not previously derived from fractional integral equations of non-integer orders.
Vasily E. Tarasov
doaj   +1 more source