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Displaying 4141 – 4160 of 9351

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Multipoint boundary value problems for discrete equations

Pavel Drábek, Harold Bevan Thompson, Christopher Tisdell (2001)

Commentationes Mathematicae Universitatis Carolinae

In this work we establish existence results for solutions to multipoint boundary value problems for second order difference equations with fully nonlinear boundary conditions involving two, three and four points. Our results are also applied to systems.

Multipoint boundary value problems for ODEs. Part II

Tadeusz Jankowski (2004)

Czechoslovak Mathematical Journal

We apply the method of quasilinearization to multipoint boundary value problems for ordinary differential equations showing that the corresponding monotone iterations converge to the unique solution of our problem and this convergence is quadratic.

Multiscale homogenization of nonlinear hyperbolic-parabolic equations

Abdelhakim Dehamnia, Hamid Haddadou (2023)

Applications of Mathematics

The main purpose of the present paper is to study the asymptotic behavior (when ε 0 ) of the solution related to a nonlinear hyperbolic-parabolic problem given in a periodically heterogeneous domain with multiple spatial scales and one temporal scale. Under certain assumptions on the problem’s coefficients and based on a priori estimates and compactness results, we establish homogenization results by using the multiscale convergence method.

Multisummability and ordinary meromorphic differential equations

Boele Braaksma (2012)

Banach Center Publications

In this expository paper we consider various approaches to multisummability. We apply it to nonlinear ODE's and give a somewhat modified proof of multisummability of formal solutions of ODE's with levels 1 and 2 via Écalle's method involving convolution equations.

Multi-type synchronization of impulsive coupled oscillators via topology degree

Yingjie Bi, Zhidan Cai, Shuai Wang (2024)

Applications of Mathematics

The existence of synchronization is an important issue in complex dynamical networks. In this paper, we study the synchronization of impulsive coupled oscillator networks with the aid of rotating periodic solutions of impulsive system. The type of synchronization is closely related to the rotating matrix, which gives an insight for finding various types of synchronization in a united way. We transform the synchronization of impulsive coupled oscillators into the existence of rotating periodic solutions...

Multivalued backward stochastic differential equations with time delayed generators

Bakarime Diomande, Lucian Maticiuc (2014)

Open Mathematics

Our aim is to study the following new type of multivalued backward stochastic differential equation: - d Y t + φ Y t d t F t , Y t , Z t , Y t , Z t d t + Z t d W t , 0 t T , Y T = ξ , where ∂φ is the subdifferential of a convex function and (Y t, Z t):= (Y(t + θ), Z(t + θ))θ∈[−T,0] represent the past values of the solution over the interval [0, t]. Our results are based on the existence theorem from Delong Imkeller, Ann. Appl. Probab., 2010, concerning backward stochastic differential equations with time delayed generators.

Multivalued linear operators and differential inclusions in Banach spaces

Anatolii Baskakov, Valeri Obukhovskii, Pietro Zecca (2003)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper, we study multivalued linear operators (MLO's) and their resolvents in non reflexive Banach spaces, introducing a new condition of a minimal growth at infinity, more general than the Hille-Yosida condition. Then we describe the generalized semigroups induced by MLO's. We present a criterion for an MLO to be a generator of a generalized semigroup in an arbitrary Banach space. Finally, we obtain some existence results for differential inclusions with MLO's and various types of multivalued...

Currently displaying 4141 – 4160 of 9351