Results 51 to 60 of about 3,896 (168)

Existence and number of solutions to semilinear equations with applications to boundary-value problems

Electronic Journal of Differential Equations, 2000
solutions to nonlinear equations and to (non)resonant semilinear equations involving nonlinear perturbations of Fredholm maps of index zero. We apply our results to semilinear elliptic, and to semilinear parabolic and hyperbolic periodic boundary-value ...
P. S. Milojevic
doaj  

Multivariable Linear Algebraic Discretization of Nonlinear Parabolic Equations for Computational Analysis. [PDF]

Comput Intell Neurosci, 2022
Zuo L, Mei F.
europepmc   +1 more source

A finite difference method for nonlinear parabolic-elliptic systems of second order partial differential equations [PDF]

Opuscula Mathematica, 2007
This paper deals with a finite difference method for a wide class of weakly coupled nonlinear second-order partial differential systems with initial condition and weakly coupled nonlinear implicit boundary conditions.
Marian Malec, Lucjan Sapa
doaj  

Some applications and maximum principles for multi-term time-space fractional parabolic Monge-Ampère equation

Demonstratio Mathematica
This study first establishes several maximum and minimum principles involving the nonlocal Monge-Ampère operator and the multi-term time-space fractional Caputo-Fabrizio derivative.
Guan Tingting, Wang Guotao, Araci Serkan
doaj   +1 more source

On a nonlinear compactness lemma in Lp(0,T;B)

International Journal of Mathematics and Mathematical Sciences, 2003
We consider a nonlinear counterpart of a compactness lemma of Simon (1987), which arises naturally in the study of doubly nonlinear equations of elliptic-parabolic type.
Emmanuel Maitre
doaj   +1 more source

Bounded solutions of nonlinear parabolic equations

Electronic Journal of Differential Equations, 2010
We are concerned with bounded solutions existing for all times for nonlinear parabolic equations with possibly nonlinear boundary conditions. A counterexample shows that, without an additional condition, a (weak) maximum principle does not hold for ...
Nsoki Mavinga, Mubenga N. Nkashama
doaj  

On stability of nonlinear difference equations and some of their applications

Қарағанды университетінің хабаршысы. Математика сериясы
The issues of stability in solving nonlinear difference equations were considered. Based on a generalized difference analog of the well-known Bihari lemma, stability conditions for a trivial solution based on initial data were obtained, and an a priori ...
M.M. Aripov, D. Utebaev, B.D. Utebaev, R.Sh. Yarlashov   +3 more
doaj   +1 more source

Asymptotics of solutions of nonlinear parabolic equations

Journal of Differential Equations, 2003
The paper is concerned with the large time behaviour of solutions to the Cauchy problem for the nonlinear parabolic equations \[ u_t = \Delta u + F(u, D_x u, D^2_x u), \qquad u \in \mathbb R^n,\;x \in \mathbb R^N, t > 0 \] with initial data \[ u(0,x) = u_0(x), \qquad x \in \mathbb R^N,\;N \geq 1, \] \(F\) being a sufficiently smooth vector-valued ...
openaire   +1 more source

A dynamical inverse problem for a parabolic equation [PDF]

Opuscula Mathematica, 2006
A problem of dynamical reconstruction of unknown distributed or boundary disturbances acting upon nonlinear parabolic equations is discussed. A regularized algorithm which allows us to reconstruct disturbances synchro with the process under consideration
Vyacheslav Maksimov
doaj  

Positive Solutions of a Nonlinear Parabolic Partial Differential Equation

Abstract and Applied Analysis, 2014
We deal with the existence and uniqueness of positive solutions to a class of nonlinear parabolic partial differential equations, by using some fixed point theorems for mixed monotone operators with perturbation.
Chengbo Zhai, Shunyong Li
doaj   +1 more source