Results 51 to 60 of about 606,903 (214)
Kragujevac Journal of Mathematics, 2020 In this paper we derive some generalizations of certain Gronwall- Bellman-Bihari-Gamidov type integral inequalities and their weakly singular analogues, which provide explicit bounds on unknown functions.
M. Mekki +3 more
semanticscholar +1 more source
On Gronwall and Wendroff type inequalities [PDF]
Proceedings of the American Mathematical Society, 1983 It is shown how Gronwall’s Lemma and the extension to many variables given by W. Walter may be derived using the simple method of recursion. This same method is used to extend this result and to derive a more general Wendroff type inequality. Upper and lower bounds for the Neumann series in the case of two independent variables are given.
openaire +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
Numerical analysis of parabolic p-Laplacian: Approximation of trajectories [PDF]
, 2000 The long time numerical approximation of the parabolic p-Laplacian problem with a time-independent forcing term and sufficiently smooth initial data is studied.
Ju, Ning
core
On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley +1 more source
Gronwall–Bellman estimates for linear Volterra-type inequalities with delay
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We obtain some estimates of Gronwall–Bellman-type for Volterra's inequalities, which have applications to the study of the stability properties of the solutions to some linear functional differential equations.
Sebastián Buedo-Fernández +1 more
doaj +1 more source
Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley +1 more source
Gronwall-OuIang-Type Integral Inequalities on Time Scales
Journal of Inequalities and Applications, 2010 We present several Gronwall-OuIang-type integral inequalities on time scales. Firstly, an OuIang inequality on time scales is discussed. Then we extend the Gronwall-type inequalities to multiple integrals.
Bohner Martin, Liu Ailian
doaj
Classical solvability of the relativistic Vlasov-Maxwell system with bounded spatial density
, 2012 In (Arch. Rational. Mech. Anal 1986, 92:59-90), Glassey and Strauss showed that if the growth in the momentum of the particles is controlled, then the relativistic Vlasov-Maxwell system has a classical solution globally in time.
Bouchut +8 more
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