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In this research, we investigate the presence of weak positive solutions for a family of anisotropic non-local elliptic systems in bounded domains using the sub-super solutions approach in conjunction with Schauder's fixed point. [ABSTRACT FROM AUTHOR]

The paper deals with the study of existence of weak positive solutions for a new class of Kirrchoff elliptic systems in bounded domains with multiple parameters, where the right hand side defined as a multiplication of two separate functions. [ABSTRACT FROM AUTHOR]

In this paper, the p‐Laplacian hyperbolic type equation with logarithmic nonlinearity and weak damping term are considered, where the global existence of solutions by using the potential well method is discussed. Furthermore, the growth and the decay estimates of solutions for the problem are studied. [ABSTRACT FROM AUTHOR]

The paper deals with some existence results for elliptic Kirchhoff equations with respect to general nonlinear source terms and changing sign data, where we have used three different methods: direct variational method, Galerkin approach, and subsolution–supersolution method. [ABSTRACT FROM AUTHOR]

The paper studies the existence result for a new class of Kirchhoff elliptic system with variable parameters in the right hand side. Sub-super solutions method are used for proving the main result. Our study is a natural improvement result of our previous one in (Boulaaras et al. in Math. Methods Appl. Sci. 41:5203-5210, 2018). [ABSTRACT FROM AUTHOR]

In this paper, a polynomial decay rate of Kirchhoff's nonlinear viscoelastic viscoelastic equation solution related with Balakrishnan-Taylor dissipation solution and logarithmic source terms is obtained, where we obtain the result of energy decay of solutions without impose the usual relationship between certain relaxation functions and their derivatives. This result generalizes the previous results to an arbitrary decay rate, that is not necessarily of the polynomial or exponential decay. [ABSTRACT FROM AUTHOR]

In this paper, we prove the existence and nonexistence of positive weak solution for a generalized elliptic systems involving p1,...,pm Laplacian operator with zero Dirichlet boundary condition in bounded domain Ω⊂RN by using subsuper solutions method. Our results are natural generalization and extension of previous studies. [ABSTRACT FROM AUTHOR]

In this paper, we study of the existence of weak positive solutions for a sublinear Kirchhoff parabolic systems in bounded domains via sub-super solutions method combined with comparison principle [ABSTRACT FROM AUTHOR]

In this paper, some new existence results of elliptic equation of Kirchhoff-type with changing sign data and logarithmic source terms are proved, by using three different methods: direct variational method, Galerkin approach and sub-super solutions method. Our study is natural extensions from the previous recent works in [2–19, 24, 38], where the authors have already studied the existence of positive solutions for some classes of Laplacian elliptic problems by using one classical method for a certain class of elliptic equations. [ABSTRACT FROM AUTHOR]

The paper deals with some existence results for an elliptic equation of Kirchhoff‐type with changing sign data and a logarithmic nonlinearity by direct variational method, Galerkin approach, and sub‐super solutions method. Our results are natural extension of Boulaaras' work in (Math Methods Appl Sci; 41(13):5203‐5210). [ABSTRACT FROM AUTHOR]

In this paper, by using subsuper solutions method, we study the existence of weak positive solution for a class of Kirrchoff elliptic systems in bounded domains with multiple parameters. [ABSTRACT FROM AUTHOR]

In this paper, we study the number of limit cycles of a new class of polynomial differential systems, which is an extended work of two families of differential systems in systems considered earlier. We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of a center using the averaging theory of first and second order. [ABSTRACT FROM AUTHOR]

This paper deals with the existence of positively solution and its asymptotic behavior for parabolic system of (p (x) , q (x)) -Laplacian system of partial differential equations using a sub and super solution according to some given boundary conditions, Our result is an extension of Boulaaras's works which studied the stationary case, this idea is new for evolutionary case of this kind of problem. [ABSTRACT FROM AUTHOR]