Results 11 to 20 of about 42 (42)

Convergence of functionals and its applications to parabolic equations

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 11, Page 907-933, 2004., 2004
Asymptotic behavior of solutions of some parabolic equation associated with the p‐Laplacian as p → +∞ is studied for the periodic problem as well as the initial‐boundary value problem by pointing out the variational structure of the p‐Laplacian, that is, ∂φp(u) = −Δpu, where φp : L2(Ω) → [0, +∞]. To this end, the notion of Mosco convergence is employed
Goro Akagi
wiley   +1 more source

Bounded solutions of nonlinear Cauchy problems

open access: yesAbstract and Applied Analysis, Volume 7, Issue 12, Page 637-661, 2002., 2002
For a given closed and translation invariant subspace Y of the bounded and uniformly continuous functions, we will give criteria for the existence of solutions u ∈ Y to the equation u′(t) + A(u(t)) + ωu(t)∍f(t), t ∈ ℝ, or of solutions u asymptotically close to Y for the inhomogeneous differential equation u′(t) + A(u(t)) + ωu(t)∍f(t), t > 0, u(0) = u0,
Josef Kreulich
wiley   +1 more source

Asymptotic behavior of evolution systems in arbitrary Banach spaces using general almost periodic splittings

open access: yesAdvances in Nonlinear Analysis, 2016
We present sufficient conditions on the existence of solutions, with various specific almost periodicity properties, in the context of nonlinear, generally multivalued, non-autonomous initial value differential equations,
Kreulich Josef
doaj   +1 more source

On nonlinear evolution equation of second order in Banach spaces

open access: yesOpen Mathematics, 2018
Here we study the existence of a solution and also the behavior of the existing solution of the abstract nonlinear differential equation of second order that, in particular, is the nonlinear hyperbolic equation with nonlinear main parts, and in the ...
Soltanov Kamal N.
doaj   +1 more source

Transformation of p-gradient flows to p′-gradient flows in metric spaces

open access: yesAnalysis and Geometry in Metric Spaces
We explicitly construct parameter transformations between gradient flows in metric spaces, called curves of maximal slope, having different exponents when the associated function and the associated metric space satisfy a suitable convexity condition ...
Shimoyama Sho
doaj   +1 more source

Controllability of stochastic semilinear neutral impulsive systems with integral boundary conditions involving a non-singular fractional derivative

open access: yesMathematical and Computer Modelling of Dynamical Systems
This paper investigates the controllability of semilinear neutral stochastic Atangana-Baleanu (AB) Caputo fractional differential equations (FDEs) under integral boundary conditions with impulses.
Sadam Hussain   +5 more
doaj   +1 more source

On some differential inclusions with anti-periodic solutions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we investigate a class of second- and first-order differential inclusions, along with an algebraic inclusion, all subject to anti-periodic boundary conditions in a real Hilbert space.
Vîntu Ioan Vladimir
doaj   +1 more source

Near viability for fully nonlinear differential inclusions

open access: yesOpen Mathematics, 2014
Căpraru Irina, Lazu Alina
doaj   +1 more source

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