Results 41 to 50 of about 2,297,756 (205)
ON A QUASILINEAR VOLTERRA INTEGRAL EQUATION
Demonstratio Mathematica, 1984 The author proves an existence theorem for the quasilinear Volterra integral equation \[ u(t)=p(t,x)+\int^{t}_{0}K(t,s)Q(s,u(s))u(s)ds, \] where x is from a finite-dimensional Banach space and u is the unknown function on [0,\(\infty)\). The proof relies on a result of \textit{G. L. Cain} and the reviewer [Pac. J. Math.
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An Adaptive Multiple Shooting Strategy for Optimal Control
Optimal Control Applications and Methods, EarlyView.We study how multiple shooting affects the convergence of Newton‐type methods for optimal control, comparing several shooting strategies across 40 benchmark problems. The study covers interior‐point and sequential quadratic programming methods with both Quasi‐Newton approximations and exact Hessians.
Robert Lampel, Sebastian Sager
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A tipping point for tipping points
Oikos, EarlyView.Tipping points (TPs) – often understood as abrupt changes to a system – have become a popular framework for ecology and environmental science across spatial and temporal scales. The underlying, quantitative foundation of TP theory is built on mathematical models from catastrophe and predator–prey theories.
David G. Jenkins +1 more
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Abstract and Applied Analysis, 2014 Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
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Wildlife Biology, EarlyView.Europe has seen the recovery of many species of wild herbivores, which are now widespread across much of the continent. In addition, large carnivores are also recolonising many European countries. Most ungulates are managed through hunting, but natural predation can also have a significant influence in many areas.
Cécile A. E. Carpentier +4 more
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Cyclic behaviour of Volterra composition operators [PDF]
, 2011 We determine the cyclic behaviour of Volterra composition operators, which are defined as $(V_\phif)(x) =\int_0^{\phi(x)}f(t) dt$, $f ? L^p[0, 1]$, 1\leq p <\infty$,where $?$ is a measurable self-map of [0, 1].
Stanislav Shkarin +5 more
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Regularization of Nonlinear Volterra Integral Equations of the First Kind with Smooth Data
AppliedMathThe paper investigates the regularization of solutions to nonlinear Volterra integral equations of the first kind, under the assumption that a solution exists and belongs to the space of continuous functions.
Taalaibek Karakeev, Nagima Mustafayeva
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Inverse problem for a Fredholm third order partial integro-differential equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
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DISCO: a general software tool for dislocation contrast factor calculations in diffraction analysis
Journal of Applied Crystallography, EarlyView.DISCO is a program capable of calculating the X‐ray contrast factor for single‐ and polycrystalline materials in real time.Dislocation contrast factors (CFs) play a central role in diffraction‐based analyses of plastic deformation, linking the elastic strain fields generated by dislocations to diffraction line broadening.
Marcelo Augusto Malagutti +2 more
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A Volterra equation with square integrable solution [PDF]
Proceedings of the American Mathematical Society, 1980 We study the asymptotic behavior of the solutions of the nonlinear Volterra integrodifferential equation \[ x ′
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