Results 1 to 10 of about 1,155,766 (245)
Journal of Function Spaces, 2018 In this article, we prove the existence of solutions for the generalized Bagley-Torvik type fractional order differential inclusions with nonlocal conditions. It allows applying the noncompactness measure of Hausdorff, fractional calculus theory, and the
Lizhen Chen, Gang Li
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Local convergence analysis of frozen Steffensen-type methods under generalized conditions
Journal of Numerical Analysis and Approximation Theory, 2023 The goal in this study is to present a unified local convergence analysis of frozen Steffensen-type methods under generalized Lipschitz-type conditions for Banach space valued operators.
Ioannis K Argyros, Santhosh George
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Journal of Inverse and Ill-posed Problems, 2014 Abstract We investigate a generalization of the well-known iteratively regularized Gauss–Newton method where the Newton equations are regularized variationally using general data fidelity and penalty terms. To obtain convergence rates, we use a general error assumption which has recently been shown to be useful for impulsive and Poisson ...
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Fractal and FractionalThis paper presents a modified Euler—Maruyama (EM) method for mixed stochastic fractional integro—differential equations (mSFIEs) with Caputo—type fractional derivatives whose coefficients satisfy local Lipschitz and linear growth conditions.
Zhaoqiang Yang, Chenglong Xu
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Lipschitz stability of an inverse problem for the Kawahara equation with damping
AIMS Mathematics, 2020 The aim of this paper is to establish a stability result regarding the inverse problem of retrieving the damping coefficient in Kawahara equation. We first establish an internal Carleman estimate for the linearized problem with the help of Dirichlet ...
Arivazhagan Anbu +2 more
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On nouniqueness of solutions of Hamilton-Jacobi-Bellman equations
, 2015 An example of a nonunique solution of the Cauchy problem of Hamilton-Jacobi-Bellman (HJB) equation with surprisingly regular Hamiltonian is introduced. The proposed Hamiltonian H(t,x,p) fulfills the local Lipschitz continuity with respect to the triple ...
Misztela, Arkadiusz
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Strong solutions for jump-type stochastic differential equations with non-Lipschitz coefficients [PDF]
Stochastics, 2019 In this paper, the existence and pathwise uniqueness of strong solutions for jump-type stochastic differential equations are investigated under non-Lipschitz conditions. A sufficient condition is obtained for ensuring the non-confluent property of strong
Zhun Gou, Ming-hui Wang, N. Huang
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Convergence Conditions for the Secant Method
Cubo, 2010 We provide new sufficient convergence conditions for the convergence of the Secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K Argyros +1 more
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, 2005 R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class. From his findings it turned out, that the conditions on sine and cosine coefficients for belonging of function to Lip α(0 < α < 1) are the same ...
Tikhonov, Sergey Yu. +1 more
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Commutators of potential type operators with Lipschitz symbols on variable Lebesgue spaces with different weights [PDF]
Mathematical Inequalities & Applications, 2019 We prove that a generalized Fefferman-Phong type condition on a pair of weights $u$ and $v$ is sufficient for the boundedness of the commutators of potential type operators from $L^{p(\cdot)}_v$ into $L^{q(\cdot)}_u$.
Luciana Melchiori +2 more
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