Search Results - Nonlinear differential equations in abstract spaces

On stability and convergence of a three-layer semi-discrete scheme for an abstract analogue of the Ball integro-differential equation by Rogava, Jemal, Tsiklauri, Mikheil, Vashakidze, Zurab

“…We consider the Cauchy problem for a second-order nonlinear evolution equation in a Hilbert space…”
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Superconvergence analysis of symmetric Gauss-type exponential collocation integrators for solving the multidimensional nonlinear first-order partial differential equations by Wu, Xiumei, Fang, Yonglei, Liu, Changying, Song, Yuanling

“…). Initially, the nonlinear PDEs are reformulated as an abstract Hamiltonian ordinary differential equation (ODE…”
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Differential Evolution Hemivariational Inequalities with Anti-periodic Conditions by Zhao, Jing, Gan, Chun Mei, Liu, Zhen Hai

“…) which couples an abstract parabolic evolution hemivariational inequality and a nonlinear differential equation in a Banach space…”
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Positive Solutions for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces by Sun, Yan

“…We establish some new existence theorems on the positive solutions for nonlinear integro-differential equations which do not possess any monotone properties in ordered Banach spaces by means of Banach…”
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Nonlinear equations with degenerate operator at fractional Caputo derivative by Plekhanova, Marina V.

“…–Sidorov problems to differential equations in Banach spaces with degenerate operator at fractional Caputo derivative in linear and nonlinear cases…”
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Almost automorphic and pseudo-almost automorphic mild solutions to an abstract differential equation in Banach spaces by Zhao, Zhi-Han, Chang, Yong-Kui, Nieto, Juan J.

“…In this paper we prove some existence results for almost automorphic and pseudo-almost automorphic mild solutions to a class of abstract differential equations in Banach spaces…”
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On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces by Bugajewski, Dariusz, N'Guérékata, Gaston M.

“…The main purpose of this paper is to deal with almost automorphic and asymptotically almost automorphic solutions of the initial value problem as well as the nonlinear Volterra integral equation in Banach spaces…”
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Nonlinear operators and differential equations in abstract spaces by Chen, Yuqing

“…The aim of this dissertation is to study some open problems in nonlinear operator theory, and to prove the existence of solutions to evolution equations in abstract spaces…”
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Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces by Peng, Y.

“…A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in fractional power spaces is considered…”
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Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces by Peng, Y.

“…A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in fractional power spaces is considered…”
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Operator Equations of the Second Kind: Theorems on the Existence and Uniqueness of the Solution and on the Preservation of Solvability by Chernov, A. V.

“…This paper continues the author’s research on the problem of preserving the solvability of controlled operator equations…”
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Blow-up of Solutions and Local Solvability of an Abstract Cauchy Problem of Second Order with a Noncoercive Source by Artem’eva, M. V., Korpusov, M. O.

“…An abstract Cauchy problem for a second-order differential equation with nonlinear operator coefficients is considered…”
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Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces by Ambrosio, Luigi, Mondino, Andrea, Savaré, Giuseppe

“…The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces…”
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A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces by Chlebicka, Iwona

“…The Musielak–Orlicz setting unifies variable exponent, Orlicz, weighted Sobolev, and double-phase spaces…”
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On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces by BUGAJEWSKI, D, NGUEREKATA, G

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Multidimensional Linear and Nonlinear Partial Integro-Differential Equation in Bessel Potential Spaces with Applications in Option Pricing by Ševčovič, Daniel, Udeani, Cyril Izuchukwu

“…The purpose of this paper is to analyze solutions of a non-local nonlinear partial integro-differential equation (PIDE…”
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Second Order Abstract Neutral Functional Differential Equations by Henríquez, Hernán R., Cuevas, Claudio

“…In this paper we are concerned with a class of second order abstract neutral functional differential equations with finite delay in a Banach space…”
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Norm Inflation for Nonlinear Schrödinger Equations in Fourier–Lebesgue and Modulation Spaces of Negative Regularity by Bhimani, Divyang G., Carles, Rémi

“…We consider nonlinear Schrödinger equations in Fourier–Lebesgue and modulation spaces involving negative regularity…”
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Non-autonomous nonlinear integro-differential equations with infinite delay by Bahuguna, D., Pandey, D.N., Ujlayan, A.

“…In this paper we consider a non-autonomous abstract nonlinear Volterra integro-differential equation with infinite delay in a Banach space…”
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Hölder Continuity and Boundedness Estimates for Nonlinear Fractional Equations in the Heisenberg Group by Manfredini, Maria, Palatucci, Giampiero, Piccinini, Mirco, Polidoro, Sergio

“…We extend the celebrate De Giorgi-Nash-Moser theory to a wide class of nonlinear equations driven by nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p…”
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