Results 91 to 100 of about 4,997 (268)
Nonlinear hyperbolic systems with nonlocal boundary conditions
A nonlinear first-order hyperbolic partial differential equation with nonlocal boundary conditions and subject to an initial condition is studied as a mathematical model for a structured biological population. Its integral form is obtained by integration along the characteristic curves of the differential problem.
Sinestrari, Eugenio, Webb, G.F
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ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
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On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative [PDF]
Ravi P. Agarwal +3 more
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Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control
ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
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The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions.
S. Pečiulytė, A. Štikonas
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On the Mean‐Field Limit of Consensus‐Based Methods
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
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Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
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Finite difference method for boundary value problem for nonlinear elliptic equation with nonlocal conditions [PDF]
Mifodijus Sapagovas +3 more
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Second order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems [PDF]
Hwi Lee, Qiang Du
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