Results 71 to 80 of about 722,802 (181)

Partial differential equations with piecewise constant delay

International Journal of Mathematics and Mathematical Sciences, 1991
The influence of certain discontinuous delays on the behavior of solutions to partial differential equations is studied. In Section 2, the initial value problems (IVP) are discussed for differential equations with piecewise constant argument (EPCA) in ...
Joseph Wiener, Lokenath Debnath
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Fractional-power approach for solving complete elliptic abstract differential equations with variable-operator coefficients

Electronic Journal of Differential Equations, 2012
This work is devoted to the study of a complete abstract second-order differential equation of elliptic type with variable operators as coefficients.
Fatiha Boutaous, Rabah Labbas, Boubaker-Khaled Sadallah   +2 more
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Completely integrable differential equations in abstract spaces [PDF]

Acta Mathematica, 1935
Michal, A. D., Elconin, V.
openaire   +5 more sources

Completeness of elementary solutions of second order elliptic equations in a semi-infinite tube domain

Electronic Journal of Differential Equations, 2002
Boundary-value problems for second order abstract differential equations on a semi-axis are considered in this article. We find isomorphisms for the corresponding operators and prove completeness of elementary solutions corresponding to subsets of ...
Yakov Yakubov
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Al-Zughair Transform for Solving Ordinary Differential Equations with Constant Coefficients

Journal of Kufa for Mathematics and Computer
—Ordinary differential equations (ODEs) are important in the field of mathematics due to their spread in various applications. Ordinary differential equations are of two types, one of which is equations with variable coefficients and the other is ...
haneen alzubaidy, Ali Mohammed
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Evolution equations for abstract differential operators

Journal of Mathematical Analysis and Applications, 2002
The author considers evolution equations (EQs) of the form \[ \begin{aligned} u'(t) &= \sum_{|\mu|\leq m} a_\mu(t) A^\mu u(t)+ f(t),\quad 0\leq t\leq T,\\ u(0) &= x,\end{aligned} \] where \(A^\mu= A^{\mu_1}_1\cdots A^{\mu_n}_n\) and \(iA_j\) are commuting generators of bounded \(C_0\)-groups on a Banach space \(X\).
openaire   +1 more source

On periodic solutions of abstract differential equations

Abstract and Applied Analysis, 2001
I. V. Tikhonov, Y. S. Eidelman
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Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm

Advances in Difference Equations, 2011
In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm, where the operator A in the linear part is the generator of a compact analytic semigroup ...
Wang Rong-Nian, Liu Jun, Chen De-Han
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Approximate controllability of distributed systems by distributed controllers

Electronic Journal of Differential Equations, 2005
Approximate controllability problem for a linear distributed control system with possibly unbounded input operator, connected in a series to another distributed system without control is investigated.
Benzion Shklyar, Vladimir Marchenko
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Uniform boundedness of solutions for a class of Lienard equations

Electronic Journal of Differential Equations, 2009
In this article, we study a class of Lienard equations $$ x''(t)+f(x(t))x'(t)+g_1(x(t))+g_2(x(t-au(t))=e(t). $$ Under some suitable conditions, we ensure that all solutions of the above Lienard equations are uniformly bounded.
Guo-Rong Ye, Hui-Sheng Ding, Xi-Lang Wu
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