Results 21 to 30 of about 258 (102)
Coupled measure of noncompactness and functional integral equations
Open Mathematics, 2022 The aim of this article is to study the results of the fixed-point in coupled and tripled measure of noncompactness (MNC). We will use the technique of MNC for coupled and tripled MNC.
Hosseinzadeh Hasan +3 more
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Journal of Function Spaces, Volume 5, Issue 1, Page 9-26, 2007., 2007 In this paper, we use a new method and combining the partial ordering method to study the existence of the solutions for the first order nonlinear impulsive integro‐differential equations of Volterra type on finite interval in Banach spaces and for the first order nonlinear impulsive integro‐differential equations of Volterra type on infinite interval ...
Jiang Zhu +3 more
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On the existence and uniqueness of solution to Volterra equation on a time scale
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 Using a global inversion theorem we investigate properties of the following ...
Kluczyński Bartłomiej
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 17, Page 901-912, 2004., 2004 First, we prove a necessary and sufficient condition for global in time existence of all solutions of an ordinary differential equation (ODE). It is a condition of one‐sided estimate type that is formulated in terms of so‐called proper functions on extended phase space.
Yuri E. Gliklikh, Lora A. Morozova
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A singular initial value problem for some functional differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 261-270, 2004., 2004 For the initial value problem trx′(t) = at + b1x(t) + b2x(q1t) + b3trx′(q2t) + φ(t, x(t), x(q1t), x′(t), x′(q2t)), x(0) = 0, where r > 1, 0 < qi ≤ 1, i ∈ {1, 2}, we find a nonempty set of continuously differentiable solutions x : (0, ρ] → ℝ, each of which possesses nice asymptotic properties when t → +0.
Ravi P. Agarwal +2 more
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On the equivalence of three-dimensional differential systems
Open Mathematics, 2020 In this paper, firstly, we study the structural form of reflective integral for a given system. Then the sufficient conditions are obtained to ensure there exists the reflective integral with these structured form for such system.
Zhou Jian, Zhao Shiyin
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On the structure of ionizing shock waves in magnetofluiddynamics
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 395-415, 2002., 2002 Ionizing shock waves in magnetofluiddynamics occur when the coefficient of electrical conductivity is very small ahead of the shock and very large behind it. For planner motion of plasma, the structure of such shock waves are stated in terms of a system of four‐dimensional equations.
A. Aghajani, M. Hesaaraki
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Variational iteration method for fractional calculus - a universal approach by Laplace transform
, 2013 A novel modification of the variational iteration method (VIM) is proposed by means of the Laplace transform. Then the method is successfully extended to fractional differential equations. Several linear fractional differential equations are analytically
Guo-cheng Wu, D. Baleanu
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Existence results and continuity dependence of solutions for fractional equations
, 2020 Using two fractional-order integral inequalities we investigate the existence and uniqueness of solutions of the fractional nonlinear Volterra integral equation and the fractional nonlinear integrodifferential equation in Banach space Cξ , using an ...
J. V. C. Sousa
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International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
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