A framework of distributed interval observers is introduced for fractional-order multiagent systems in the presence nonlinearity. First, a frame was designed to construct upper and lower bounds system state. By using monotone theory, positivity error dynamics could be ensured, which implies that trap original Second, sufficient condition applied guarantee boundedness observers. Then, an extensi...

The energy super-critical Gross–Pitaevskii equation with a harmonic potential is revisited in the particular case of cubic focusing nonlinearity and dimension d ? 5 . In order to prove existence ground state (a positive, radially symmetric solution space), we develop shooting method deal one-parameter family classical solutions an initial-value problem for stationary equation. We that curve (th...

We consider the periodic solutions of a semilinear variable coefficient wave equation arising from forced vibrations nonhomogeneous string and propagation seismic waves in nonisotropic media. The characterizes inhomogeneity media its presence usually leads to destruction compactness inverse linear operator with periodic-Dirichlet boundary conditions on range. In pioneering work Barbu Pavel (199...

This paper deals with the solution of delay differential equations describing evolution dislocation density in metallic materials. Hardening, restoration, and recrystallization characterizing populations provide essential equation model. The last term transforms ordinary (ODE) into (DDE) strong (in general, H\"older) nonlinearity. We prove upper error bounds for explicit Euler method, under ass...

This work concerns with the solvability of third-order periodic fully problems a weighted parameter, where nonlinearity must verify only local monotone condition and no periodic, coercivity or super sublinearity restrictions are assumed, as usual in literature. The arguments based on new type lower upper solutions method, not necessarily well ordered. A Nagumo growth Leray–Schauder’s topologica...

We consider adaptive finite element methods for second-order elliptic PDEs, where the arising discrete systems are not solved exactly. For contractive iterative solvers, we formulate an algorithm which monitors and steers mesh-refinement as well inexact solution of systems. prove that proposed strategy leads to linear convergence with optimal algebraic rates. Unlike prior works, however, focus ...

We study a system of nonlinear partial differential equations describing the unsteady motions incompressible chemically reacting non-Newtonian fluids. The under consideration consists generalized Navier–Stokes with power-law-type stress-strain relation, where power-law index depends on concentration chemical, coupled to convection-diffusion equation for concentration. This arises in rheology sy...

We consider Lurye (sometimes written Lur’e) systems, whose nonlinear operator is characterized by a possibly multivalued nonlinearity that bounded above and below monotone functions. Stability can be established using subclass of the Zames–Falb multipliers. The result generalizes similar approaches in literature. Appropriate multipliers found convex searches. Because used for nonlinearities, th...

the paper deals with special types of $l$-ordered sets, $l$-fuzzy complete lattices, and fuzzy directed complete posets.first, a theorem for constructing monotone maps is proved, a characterization for monotone maps on an $l$-fuzzy complete lattice is obtained, and it's proved that if $f$ is a monotone map on an $l$-fuzzy complete lattice $(p;e)$, then the least fixpoint of $f$ is meet of ...

zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎a strong convergence theorem for the common solutions of the problems is established in the framework of hilbert spaces‎.