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Entire solutions of diffusive Lotka-Volterra system [PDF]

open access: yesJournal of Differential Equations, 2020
This work is concerned with the existence of entire solutions of the diffusive Lotka-Volterra competition system \begin{equation}\label{eq:abstract} \begin{cases} u_{t}= u_{xx} + u(1-u-av), & \qquad \ x\in\mathbb{R} \cr v_{t}= d v_{xx}+ rv(1-v-bu), & \qquad \ x\in\mathbb{R} \end{cases} \quad (1) \end{equation} where $d,r,a$, and $b$ are ...
King-Yeung Lam   +2 more
openaire   +3 more sources

Minimum action solutions of nonhomogeneous Schrödinger equations

open access: yesAdvances in Nonlinear Analysis, 2020
In this paper, we are concerned with the qualitative analysis of solutions to a general class of nonlinear Schrödinger equations with lack of compactness.
Ahmad Bashir, Alsaedi Ahmed
doaj   +1 more source

Entire Solutions of [PDF]

open access: yesNagoya Mathematical Journal, 2005
The paper is concerned with description of entire solutions of the partial differential equations where m ≥ 2, n ≥ 2 are integers and g is a polynomial or an entire function in C2. Descriptions are given and complemented by various examples.
openaire   +1 more source

Entire solutions of Donaldson’s equation [PDF]

open access: yesPacific Journal of Mathematics, 2012
A serious blunder was found in a previous version of the ...
openaire   +3 more sources

Singular quasilinear convective elliptic systems in ℝN

open access: yesAdvances in Nonlinear Analysis, 2022
The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates.
Guarnotta Umberto   +2 more
doaj   +1 more source

Singular Schroedinger operators as self-adjoint extensions of n-entire operators [PDF]

open access: yes, 2015
We investigate the connections between Weyl-Titchmarsh-Kodaira theory for one-dimensional Schr\"odinger operators and the theory of $n$-entire operators.
Silva, Luis O.   +2 more
core   +2 more sources

The class of Clifford-Fourier transforms [PDF]

open access: yes, 2011
Recently, there has been an increasing interest in the study of hypercomplex signals and their Fourier transforms. This paper aims to study such integral transforms from general principles, using 4 different yet equivalent definitions of the classical ...
De Bie, H., De Schepper, N., Sommen, F.
core   +3 more sources

Transcendental entire solutions of several complex product-type nonlinear partial differential equations in ℂ2

open access: yesOpen Mathematics, 2023
Our purpose in this article is to describe the solutions of several product-type nonlinear partial differential equations (PDEs) (a1u+b1uz1+c1uz2)(a2u+b2uz1+c2uz2)=1,\left({a}_{1}u+{b}_{1}{u}_{{z}_{1}}+{c}_{1}{u}_{{z}_{2}})\left({a}_{2}u+{b}_{2}{u}_{{z}_{
Xu Yi Hui   +3 more
doaj   +1 more source

Entire solutions of two certain Fermat-type ordinary differential equations

open access: yesOpen Mathematics, 2023
In this article, we investigate the precise expression forms of entire solutions for two certain Fermat-type ordinary differential equations: (a0f+a1f′)2+(a0f+a2f′)2=p{\left({a}_{0}f+{a}_{1}{f}^{^{\prime} })}^{2}+{\left({a}_{0}f+{a}_{2}{f}^{^{\prime} })}^
Hu Binbin, Yang Liu
doaj   +1 more source

Seasonal changes of the volatile density in the coma and on the surface of comet 67P/Churyumov-Gerasimenko [PDF]

open access: yes, 2017
Starting from several monthly data sets of Rosetta's COmetary Pressure Sensor we reconstruct the gas density in the coma around comet 67P/Churyumov-Gerasimenko.
Altwegg, Kathrin   +3 more
core   +2 more sources

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