Results 91 to 100 of about 3,130,595 (306)

Boundedness of Discrete Volterra Equations

Journal of Mathematical Analysis and Applications, 1997
The boundedness and stability of the solutions of discrete Volterra equations are investigated. This is done by different techniques: the use of Lyapunov functionals, the methods of majorants (comparison theorem), and perturbation techniques. The results are then applied to the discretization by direct quadrature methods of Volterra integral equations ...
V. Kolmanovskii, M. R. Crisci, E. Russo, Antonia Vecchio   +3 more
openaire   +2 more sources

A UAV Air Combat Trajectory Prediction Method Based on QCNet

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT The Unmanned Aerial Vehicle (UAV) air combat trajectory prediction algorithm facilitates strategic pre‐planning by predicting UAV flight trajectories with high accuracy, thus mitigating risks and securing advantages in intricate aerial scenarios.
Zhang Jiahui, Meng Zhijun, He Jiazheng
wiley   +1 more source

A systematic method for constructing time discretizations of integrable lattice systems: local equations of motion

, 2010
We propose a new method for discretizing the time variable in integrable lattice systems while maintaining the locality of the equations of motion. The method is based on the zero-curvature (Lax pair) representation and the lowest-order "conservation ...
Ablowitz M J, Ablowitz M J, Dodd R K, Faddeev L D, Faddeev L Zuber J-B Stora R, Gerdjikov V S, Haldane F D M, Izergin A G, Manakov S V, Pempinelli F Boiti M Leon J Alfinito E, Sadakane T, Suris Y B, Suris Y B, Takayuki Tsuchida, Tsuchida T   +14 more
core   +1 more source

A Volterra equation with nonintegrable resolvent [PDF]

Proceedings of the American Mathematical Society, 1979
A counterexample, which shows that the resolvent associated with a nonnegative, nonincreasing function need not be integrable, is constructed.
openaire   +3 more sources

Ecological graph theory: Simulating competition and coexistence on graphs

Methods in Ecology and Evolution, EarlyView.
Abstract Since its inception, the evolutionary graph theory (EGT) has been extensively used to study the fixation probability, the rate of evolution, game‐theoretical topics and related questions in a spatially structured framework. However, few attempts have been made to use this framework in ecology.
Ata Kalirad, Ralf J. Sommer
wiley   +1 more source

Theoretical and numerical results about some weakly singular Volterra-Fredholm equations

Journal of Numerical Analysis and Approximation Theory, 2008
In this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given.
F. Calió, E. Marchetti, V. Mureșan
doaj   +2 more sources

Solutions of a quadratic Volterra–Stieltjes integral equation in the class of functions converging at infinity

Electronic Journal of Qualitative Theory of Differential Equations, 2018
The paper deals with the study of the existence of solutions of a quadratic integral equation of Volterra–Stieltjes type. We are looking for solutions in the class of real functions continuous and bounded on the real half-axis $\mathbb{R}_+$ and ...
Jozef Banas, Agnieszka Dubiel
doaj   +1 more source

Classification of integrable Volterra type lattices on the sphere. Isotropic case

, 2007
The symmetry approach is used for classification of integrable isotropic vector Volterra lattices on the sphere. The list of integrable lattices consists mainly of new equations.
Anco S C, Bobenko A I, Habibullin I T Sokolov V V Yamilov R I Alfinito E Boiti M Martina L Pempinelli F, Levi D, Mikhailov A V, Ragnisco O, Shabat A B, Sokolov V V, Sokolov V V, Takhtajan L A, Tsuchida T, V E Adler, Yamilov R I, Yamilov R I   +13 more
core   +1 more source

Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method

Advances in Mathematical Physics, 2019
We present a new numerical technique to discover a new solution of Singular Nonlinear Volterra Integral Equations (SNVIE). The considered technique utilizes the Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet method (HOBW) to solve the ...
Mohamed R. Ali, M. Mousa, W. Ma
semanticscholar   +1 more source

A practical guide to characterising ecological coexistence

Biological Reviews, EarlyView.
ABSTRACT Coexistence is simultaneously one of the most fundamental concepts of ecology, and one of the most difficult to define. A particular challenge is that, despite a well‐developed body of research, several different schools of thought have developed over the past century, leading to multiple independent, and largely isolated, branches of ...
Adam T. Clark, Lauren G. Shoemaker, Jean‐François Arnoldi, György Barabás, Rachel Germain, Oscar Godoy, Lauren Hallett, Canan Karakoç, Serguei Saavedra, Sebastian J. Schreiber   +9 more
wiley   +1 more source