Results 261 to 270 of about 225,971 (310)

Caputo-Hadamard fractional differential equations in banach spaces

Fractional Calculus and Applied Analysis, 2018
This article deals with some existence results for a class of Caputo–Hadamard fractional differential equations. The results are based on the Mönch’s fixed point theorem associated with the technique of measure of noncompactness.
S. Abbas, M. Benchohra, N. Hamidi, J. Henderson   +3 more
semanticscholar   +1 more source

Optimal controls problems for some impulsive stochastic integro-differential equations with state-dependent delay

Stochastics, 2022
In this paper, optimal control problems for a class of stochastic functional integral-differential equations in Hilbert spaces are investigated. First, the existence of mild solutions is investigated using stochastic analysis theory, fixed point theorems,
Amadou Diop, M. Diop, K. Ezzinbi, P. D. A. Guindo   +3 more
semanticscholar   +1 more source

Abstract degenerate Volterra integro-differential equations: inverse generator problem

Periodica Mathematica Hungarica, 2019
In this paper, we investigate the inverse generator problem for abstract degenerate Volterra integro-differential equations in locally convex spaces.
M. Kosti'c
semanticscholar   +1 more source

Abstract Differential Equations with VMO Coefficients in Half Space and Applications

Mediterranean Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Ulam’s-Type Stability of First-Order Impulsive Differential Equations with Variable Delay in Quasi–Banach Spaces

International journal of nonlinear sciences and numerical simulation, 2018
In this paper, Ulam’s-type stabilities are studied for a class of first-order impulsive differential equations with bounded variable delays on compact interval with finite number of impulses. Results of stability are proved via newly established integral
Jinrong Wang, A. Zada, Wajid Ali
semanticscholar   +1 more source

Existence of Solutions of Abstract Differential Equations in a Local Space

Canadian Mathematical Bulletin, 1973
Let H be a Hilbert space; ( , ) and | | represent the scalar product and the norm respectively in H. Let A be a closed linear operator with domain DA dense in H and A* be its adjoint with domain DA*. DA and DA*are also Hilbert spaces under their respective graph scalar product. R(λ; A*) denotes the resolvent of A*; complex plane. We write L = D — A, L*
openaire   +1 more source

Controllability Results for Non Densely Defined Impulsive Fractional Differential Equations in Abstract Space

Differential Equations and Dynamical Systems, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, Ashish, Pandey, Dwijendra N.
openaire   +2 more sources

Measures of noncompactness, darbo maps and differential equations in abstract spaces

Acta Mathematica Hungarica, 1995
Let \(B\) be a real Banach space. The existence theory for the initial value problem \(y'(t)= q(t) f(t, y(t))\), \(t\in (0, T]\), \(y(0)= a\in B\), \(q\in C (0, T]\), \(q>0\) and \(\int^T_0 q(s) ds< \infty\), and for the Dirichlet boundary value problem \(y''+ \beta y' - \varepsilon y= q(t) f(t, y, y')\), \(0< t< 1\), \(y(0)= a\in B\), \(y(1)= b\in B\);
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Abstract differential equations of elliptic type with general Robin boundary conditions in Hölder spaces

Applicable Analysis, 2012
In this paper we prove some new results on abstract second order differential equations of elliptic type with general Robin boundary conditions. The study is performed in Hölder spaces and uses the celebrated Da Prato-Grisvard sum theory. We give necessary and sufficient conditions on the data to obtain a unique strict solution satisfying the maximal ...
CHEGGAG M, FAVINI, ANGELO, LABBAS R, MAINGOT S, MEDEGHRI A.   +4 more
openaire   +2 more sources

Existence and Local Stability Results for First-Order Nonlinear Random Differential Equations via Random Fixed-Point Theorems

INTERNATIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENT
: The study of random differential equations plays a crucial role in modeling dynamic systems influenced by uncertainty. Classical fixed point theorems have been extended to random settings to analyze the behavior of such systems.
S. Bellale, P. Bhosale
semanticscholar   +1 more source