Some nonlinear inequalities and applications [PDF]
, 2010 Sufficient conditions are given for the relation $\lim_{t\to\infty}y(t) = 0$ to hold, where $y(t)$ is a continuous nonnegative function on $[0,1)$ satisfying some nonlinear inequalities.
Hoang, N. S., Ramm, A. G.
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A reinterpretation of set differential equations as differential equations in a Banach space
, 2015 Set differential equations are usually formulated in terms of the Hukuhara differential, which implies heavy restrictions for the nature of a solution.
Rasmussen, Martin +2 more
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Numerical Solutions of Nonlinear Biochemical Model Using a Hybrid Numerical- Analytical Technique [PDF]
, 2015 In this paper, a hybrid numerical-analytical technique resulting from the combination of the differential transformation method and the Pade approximation technique; hereby referred to as differential transformation-Pade approximation technique (DTPAT ...
Akinlabi, G. O. +5 more
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The initial boundary value problem of a mixed‐typed hemivariational inequality
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 1, Page 43-52, 2001., 2001 A mixed‐typed differential inclusion with a weakly continuous nonlinear term and a nonmonotone discontinuous nonlinear multi‐valued term is studied, and the existence and decay of solutions are established.
Guo Xingming
wiley +1 more source
Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, Volume 6, Issue 1, Page 13-34, 2001., 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction‐drift‐diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic ...
R. Bader, W. Merz
wiley +1 more source
Almost periodic evolution systems with impulse action at state-dependent moments
, 2016 We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present conditions excluding the beating phenomenon in these systems.
Hakl, Robert +3 more
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On second‐order multivalued impulsive functional differential inclusions in Banach spaces
Abstract and Applied Analysis, Volume 6, Issue 6, Page 369-380, 2001., 2001 A fixed point theorem for condensing maps due to Martelli is used to investigate the existence of solutions to second‐order impulsive initial value problem for functional differential inclusions in Banach spaces.
M. Benchohra +2 more
wiley +1 more source
Stability of the Volterra Integrodifferential Equation [PDF]
, 2013 In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation and the Volterra equation on the finite interval [0, T], T > 0, are studied, where the state x(t) take values in a Banach space ...
Janfada, Mohammad, Sadeghi, Gh.
core
Nonlocal conditions for differential inclusions in the space of functions of bounded variations
Advances in Difference Equations, 2011 We discuss the existence of solutions of an abstract differential inclusion, with a right-hand side of bounded variation and subject to a nonlocal initial condition of integral type.
Boucherif Abdelkader, Agarwal Ravi
doaj
Asymptotic stability of solutions to abstract differential equations [PDF]
, 2010 An evolution problem for abstract differential equations is studied. The typical problem is: $$\dot{u}=A(t)u+F(t,u), \quad t\geq 0; \,\, u(0)=u_0;\quad \dot{u}=\frac {du}{dt}\qquad (*)$$ Here $A(t)$ is a linear bounded operator in a Hilbert space $H ...
Ramm, A. G.
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