Results 1 to 10 of about 1,093 (183)
On the correct formulation of a nonlinear differential equations in Banach space [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We study, the existence and uniqueness of the initial value problems in a Banach space E for the abstract nonlinear differential equation (dn−1/dtn−1)(du/dt+Au)=B(t)u+f(t,W(t)), and consider the correct solution of this problem.
Mahmoud M. El-Borai +2 more
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Axioms, 2022 We study a class of nonlinear implicit fractional differential equations subject to nonlocal boundary conditions expressed in terms of nonlinear integro-differential equations.
Djalal Boucenna +2 more
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Известия Иркутского государственного университета: Серия "Математика", 2021 An initial value problem is studied for a class of evolutionary equations with a weak degeneration, which are nonlinear with respect to lower order fractional Gerasimov – Caputo derivatives.
G.D. Baybulatova, M.V. Plekhanova
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On a nonlinear differential equation in a Banach space
Sibirskie Elektronnye Matematicheskie Izvestiya, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Besova, Margarita Il'inichna +1 more
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On ΛpBV-Solutions of Some Nonlinear Integral Equations on the Plane
International Journal of Differential Equations, 2022 In this paper, we define the space of functions Λp-bounded variation on the plane and endow it with a norm under which it is a Banach space. In addition, we study some nonlinear integral equations and providing conditions for the functions and kernel ...
Jurancy Ereú +2 more
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Asymptotic behavior of solutions to difference equations in Banach spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We investigate the asymptotic properties of solutions to higher order nonlinear difference equations in Banach spaces. We introduce a new technique based on a vector version of discrete L'Hospital's rule, remainder operator, and the regional topology on ...
Janusz Migda
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Asymptotic stability of solutions of nonlinear fractional differential equations of order 1 < α < 2
上海师范大学学报. 自然科学版, 2015 This paper is mainly concerned with the asymptotic stability of the solutions of a class of nonlinear fractional differential equations of order 1 < α < 2 in a weighted Banach space.
GE Fudong, KOU Chunhai
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Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this article we consider nonlinear differential equations with $\psi$-exponential and $\psi$-ordinary dichotomous linear part in a Banach space. By the help of the fixed point principle of Banach sufficient conditions are found for the existence of ...
Atanaska Georgieva +3 more
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Advances in Difference Equations, 2018 In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces are established under more general conditions by constructing a special Banach space and using cone ...
Peiguo Zhang, Xinan Hao
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Mathematics, 2021 In this paper, the authors propose an investigation of the existence of solutions for a system of nonlinear Hadamard-type integro-differential equations in a Banach space.
Chenkuan Li +2 more
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