Results 21 to 30 of about 722,802 (181)

Linear and nonlinear abstract differential equations of high order

Open Mathematics, 2015
The nonlocal boundary value problems for linear and nonlinear degenerate abstract differential equations of arbitrary order are studied. The equations have the variable coefficients and small parameters in principal part.
Shakhmurov Veli B.
doaj   +1 more source

New Stability Results for Abstract Fractional Differential Equations with Delay and Non-Instantaneous Impulses

Mathematics, 2023
This research delves into the field of fractional differential equations with both non-instantaneous impulses and delay within the framework of Banach spaces.
Abdellatif Benchaib, Abdelkrim Salim, Saïd Abbas, Mouffak Benchohra   +3 more
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Continuation of mild solution for abstract fractional integro-differential equations

CQD Revista Eletrônica Paulista de Matemática, 2022
In this paper we study the existence of local, global mild solution for the abstract fractional integro-differential Cauchy problem.
José Paulo Carvalho dos Santos
doaj  

A Note on Existence of Mild Solutions for Second-Order Neutral Integro-Differential Evolution Equations with State-Dependent Delay

Fractal and Fractional, 2021
This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour, Hernán R. Henríquez, Velusamy Vijayakumar, Kottakkaran Sooppy Nisar, Anurag Shukla   +4 more
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Spectral estimates for resolvent differences of self-adjoint elliptic operators

, 2010
The notion of quasi boundary triples and their Weyl functions is an abstract concept to treat spectral and boundary value problems for elliptic partial differential equations.
Behrndt, Jussi, Langer, Matthias, Lotoreichik, Vladimir   +2 more
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On the covering dimension of the set of solutions of some nonlinear equations

, 1986
We prove an abstract theorem whose sole hypothesis is that the degree of a certain map is nonzero and whose parametric equations are studied using cohomological mconclusions imply sharp, multidimensional continuation results.
Fitzpatrick, P., Massabò, I., Pejsachowicz, Jacobo   +2 more
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Dirichlet problem for second-order abstract differential equations

Electronic Journal of Differential Equations, 2020
We study the well-posedness in the space of continuous functions of the Dirichlet boundary value problem for a homogeneous linear second-order differential equation u''+Au = 0, where A is a linear closed densely defined operator in a Banach space. We
Giovanni Dore
doaj  

Weak solutions to problems involving inviscid fluids

, 2015
We consider an abstract functional-differential equation derived from the pressure-less Euler system with variable coefficients that includes several systems of partial differential equations arising in the fluid mechanics.
C Audiard, C Lellis De, CM Dafermos, CM Dafermos, D Bresch, E Chiodaroli, E Chiodaroli, J Lowengrub, L Desvillettes, M Kotschote, M Kotschote, P Antonelli, P Antonelli, S Benzoni-Gavage, S Benzoni-Gavage   +14 more
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Abstract incomplete degenerate differential equations [PDF]

Tsukuba Journal of Mathematics, 2016
In this paper, we investigate the abstract incomplete degenerate di.erential equations in locally convex spaces, associated with use of the modified Liuoville right-sided fractional derivatives ([21]). The existence of solutions of abstract incomplete degenerate di.erential equations of second order is proved by considering the corresponding incomplete
openaire   +2 more sources

Correspondence between geometrical and differential definitions of the sine and cosine functions and connection with kinematics

, 2011
In classical physics, the familiar sine and cosine functions appear in two forms: (1) geometrical, in the treatment of vectors such as forces and velocities, and (2) differential, as solutions of oscillation and wave equations. These two forms correspond
Brenner J. L., Crathorne A. R., Howard R., Jones H. W., Kim J.-H., Leff H. S., Ninio F., Patera R. D., Roe J., Vance E. P., Wallen L. J., Wedemeyer B., Zebrowski E.   +12 more
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