Suchergebnisse - Nonlinear differential equations in abstract spaces

  1. 1

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

    ISSN: 0022-247X, 1096-0813
    Veröffentlicht: Elsevier Inc 01.02.2023
    Veröffentlicht in Journal of mathematical analysis and applications (01.02.2023)
    “… We consider the Cauchy problem for a second-order nonlinear evolution equation in a Hilbert space …”
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    Journal Article
  2. 2

    Superconvergence analysis of symmetric Gauss-type exponential collocation integrators for solving the multidimensional nonlinear first-order partial differential equations von Wu, Xiumei, Fang, Yonglei, Liu, Changying, Song, Yuanling

    ISSN: 0259-9791, 1572-8897
    Veröffentlicht: Cham Springer International Publishing 01.11.2025
    Veröffentlicht in Journal of mathematical chemistry (01.11.2025)
    “… ). Initially, the nonlinear PDEs are reformulated as an abstract Hamiltonian ordinary differential equation (ODE …”
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    Journal Article
  3. 3

    Differential Evolution Hemivariational Inequalities with Anti-periodic Conditions von Zhao, Jing, Gan, Chun Mei, Liu, Zhen Hai

    ISSN: 1439-8516, 1439-7617
    Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2024
    Veröffentlicht in Acta mathematica Sinica. English series (01.04.2024)
    “… ) which couples an abstract parabolic evolution hemivariational inequality and a nonlinear differential equation in a Banach space …”
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    Journal Article
  4. 4

    Positive Solutions for Nonlinear Integro-Differential Equations of Mixed Type in Banach Spaces von Sun, Yan

    ISSN: 1085-3375, 1687-0409
    Veröffentlicht: Cairo, Egypt Hindawi Limiteds 01.01.2013
    Veröffentlicht in Abstract and Applied Analysis (01.01.2013)
    “… 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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    Journal Article
  5. 5

    Nonlinear equations with degenerate operator at fractional Caputo derivative von Plekhanova, Marina V.

    ISSN: 0170-4214, 1099-1476
    Veröffentlicht: Freiburg Wiley Subscription Services, Inc 30.11.2017
    Veröffentlicht in Mathematical methods in the applied sciences (30.11.2017)
    “… –Sidorov problems to differential equations in Banach spaces with degenerate operator at fractional Caputo derivative in linear and nonlinear cases …”
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    Journal Article
  6. 6

    Almost automorphic and pseudo-almost automorphic mild solutions to an abstract differential equation in Banach spaces von Zhao, Zhi-Han, Chang, Yong-Kui, Nieto, Juan J.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 01.02.2010
    Veröffentlicht in Nonlinear analysis (01.02.2010)
    “… 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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    Journal Article
  7. 7

    Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces von Ambrosio, Luigi, Mondino, Andrea, Savaré, Giuseppe

    ISBN: 9781470439132, 1470439131
    ISSN: 0065-9266, 1947-6221
    Veröffentlicht: Providence, Rhode Island American Mathematical Society 2019
    “… The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces …”
    Volltext
    E-Book Buch
  8. 8

    On the topological structure of almost automorphic and asymptotically almost automorphic solutions of differential and integral equations in abstract spaces von Bugajewski, Dariusz, N'Guérékata, Gaston M.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Elsevier Ltd 01.12.2004
    Veröffentlicht in Nonlinear analysis (01.12.2004)
    “… 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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    Journal Article
  9. 9

    Nonlinear operators and differential equations in abstract spaces von Chen, Yuqing

    ISBN: 0599864761, 9780599864764
    Veröffentlicht: ProQuest Dissertations & Theses 01.01.2000
    “… 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 …”
    Volltext
    Dissertation
  10. 10

    Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces von Peng, Y.

    ISSN: 1085-3375, 1687-0409
    Veröffentlicht: Cairo, Egypt Hindawi Puplishing Corporation 2011
    Veröffentlicht in Abstract and applied analysis (2011)
    “… 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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    Journal Article
  11. 11

    Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces von Peng, Y.

    ISSN: 1085-3375, 1687-0409
    Veröffentlicht: New York Hindawi Limiteds 01.01.2010
    Veröffentlicht in Abstract and Applied Analysis (01.01.2010)
    “… 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 …”
    Volltext
    Journal Article
  12. 12

    Operator Equations of the Second Kind: Theorems on the Existence and Uniqueness of the Solution and on the Preservation of Solvability von Chernov, A. V.

    ISSN: 0012-2661, 1608-3083
    Veröffentlicht: Moscow Pleiades Publishing 01.05.2022
    Veröffentlicht in Differential equations (01.05.2022)
    “… This paper continues the author’s research on the problem of preserving the solvability of controlled operator equations …”
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    Journal Article
  13. 13

    Blow-up of Solutions and Local Solvability of an Abstract Cauchy Problem of Second Order with a Noncoercive Source von Artem’eva, M. V., Korpusov, M. O.

    ISSN: 0965-5425, 1555-6662
    Veröffentlicht: Moscow Pleiades Publishing 01.04.2023
    Veröffentlicht in Computational mathematics and mathematical physics (01.04.2023)
    “… An abstract Cauchy problem for a second-order differential equation with nonlinear operator coefficients is considered …”
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    Journal Article
  14. 14

    A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces von Chlebicka, Iwona

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Elmsford Elsevier Ltd 01.10.2018
    Veröffentlicht in Nonlinear analysis (01.10.2018)
    “… The Musielak–Orlicz setting unifies variable exponent, Orlicz, weighted Sobolev, and double-phase spaces …”
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    Journal Article
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    Multidimensional Linear and Nonlinear Partial Integro-Differential Equation in Bessel Potential Spaces with Applications in Option Pricing von Ševčovič, Daniel, Udeani, Cyril Izuchukwu

    ISSN: 2227-7390, 2227-7390
    Veröffentlicht: Basel MDPI AG 01.07.2021
    Veröffentlicht in Mathematics (Basel) (01.07.2021)
    “… The purpose of this paper is to analyze solutions of a non-local nonlinear partial integro-differential equation (PIDE …”
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    Journal Article
  17. 17

    Second Order Abstract Neutral Functional Differential Equations von Henríquez, Hernán R., Cuevas, Claudio

    ISSN: 1040-7294, 1572-9222
    Veröffentlicht: New York Springer US 01.06.2017
    Veröffentlicht in Journal of dynamics and differential equations (01.06.2017)
    “… 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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    Journal Article
  18. 18

    Norm Inflation for Nonlinear Schrödinger Equations in Fourier–Lebesgue and Modulation Spaces of Negative Regularity von Bhimani, Divyang G., Carles, Rémi

    ISSN: 1069-5869, 1531-5851
    Veröffentlicht: New York Springer US 01.12.2020
    Veröffentlicht in The Journal of fourier analysis and applications (01.12.2020)
    “… We consider nonlinear Schrödinger equations in Fourier–Lebesgue and modulation spaces involving negative regularity …”
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    Journal Article
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    Non-autonomous nonlinear integro-differential equations with infinite delay von Bahuguna, D., Pandey, D.N., Ujlayan, A.

    ISSN: 0362-546X, 1873-5215
    Veröffentlicht: Amsterdam Elsevier Ltd 01.04.2009
    Veröffentlicht in Nonlinear analysis (01.04.2009)
    “… 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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    Journal Article
  20. 20

    Hölder Continuity and Boundedness Estimates for Nonlinear Fractional Equations in the Heisenberg Group von Manfredini, Maria, Palatucci, Giampiero, Piccinini, Mirco, Polidoro, Sergio

    ISSN: 1050-6926, 1559-002X
    Veröffentlicht: New York Springer US 01.03.2023
    Veröffentlicht in The Journal of geometric analysis (01.03.2023)
    “… 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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    Journal Article