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The purpose of this short paper is to extend a recent result of Ricceri, on the existence of zeros of functions with values in a dual space, to the existence of solutions to inclusions with values in ...
We prove an existence and uniqueness theorem for the solution of unilateral problems with $L^{1}$ data.
Combining a consequence of the Michael continuous selection theorem and an iterative scheme we prove the existence of a continuous solution of a parametric equation with constraints. An inverse functi...
We are concerned with integral functionals of the form J(v)\doteq \int_{B_R^n} \left[f(|x|,|\nabla v(x)|)+h(|x|,v(x))\right] dx, defined on $W^{1,1}_0(B_R^n, \mathbb{R}^m)$, where $B_R^n$ is the b...
We study a system of nonlinear partial di®erential equations resulting from the traditional modelling of oil engineering within the frame- work of the mechanics of a continuous medium. Existence...
The existence of countably many positive solutions for a system of second order four-point boundary value problems with p-Laplacian operator
In this work, we are concerned with the study of existence of positive solutions to some p-Laplacian systems on an unbounded domain, with non-linearities without a necessary variational character. Und...
In the paper we give the sufficient conditions on the existence and uniqueness of generalized solutions a boundary value problems of one class of high order operator operator-differential equations at...
This paper is concerned with the proof of the existence and uniqueness of an entropy solution for B urgers equation with additive source term (outside forces act on fluid particles). Some estimates ar...
Given are two strictly positive constants a and k. We show that if a ¸ 3:92k then there exists an open and bounded set ­ in R2 which contains strictly the line segment C (C = [¡1; 1]...
In this paper, we consider the mathematical formulation and analysis of an optimal control problem for a nonlinear Dissolve Oxy- gen(DO)/ Biological Oxygen Demand(BOD) system with logistic growth t...
We consider an initial-boundary problem for a fourth order nonlinear parabolic equation. The problem as a model arises in epitaxial growth of nanoscale thin films. Relying on some necessary uniform ...
By using the theory of coincidence degree, sufficient conditions for the existence and nonexistence of positive periodic solutions of a class of neutral delay competition model are obtained.
We consider a predator prey system with the functional response of the form µ(x) = arctan(ax); a > 0. The main concern in this paper is the existence of limit cycles for such system. A necessa...
A delayed periodic n-species simple food-chain system with Holling type-II functional response is investigated. By means of Gaines and Mawhin's continuation theorem of coincidence degree theory and by...

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