On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems.
Carl, S., Heikkilä, S. (2005)
Journal of Inequalities and Applications [electronic only]
Haishen Lü, Donal O'Regan, Ravi P. Agarwal (2005)
Applications of Mathematics
We study the vector -Laplacian We prove that there exists a sequence of solutions of () such that is a critical point of and another sequence of solutions of such that is a local minimum point of , where is a functional defined below.
Andrzej Nowakowski, Aleksandra Orpel (2006)
Czechoslovak Mathematical Journal
The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences.
Daqing Jiang, Huizhao Liu (1999)
Annales Polonici Mathematici
The existence of nonnegative radial solutions for some systems of m (m ≥ 1) quasilinear elliptic equations is proved by a simple application of a fixed point theorem in cones.
Jan Ligęza (2006)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
We study the existence of one-signed periodic solutions of the equations where , is continuous and 1-periodic, is a continuous and 1-periodic in the first variable and may take values of different signs. The Krasnosielski fixed point theorem on cone is used.
G. G. Hamedani (1979)
Časopis pro pěstování matematiky
Bahman Mehri (1976)
Časopis pro pěstování matematiky
Mennicken, R., Rachinskij, D. (2001)
Journal of Inequalities and Applications [electronic only]
Luo, Hua, An, Yulian (2011)
Advances in Difference Equations [electronic only]
Tiziana Cardinali, Raffaella Servadei (2004)
Open Mathematics
In this paper we prove the existence of periodic solutions for nonlinear impulsive viable problems monitored by differential inclusions of the type x′(t)∈F(t,x(t))+G(t,x(t)). Our existence theorems extend, in a broad sense, some propositions proved in [10] and improve a result due to Hristova-Bainov in [13].
Lu, Chunqing (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Boris Rudolf (2000)
Archivum Mathematicum
In the paper it is proved that the generalized linear boundary value problem generates a Fredholm operator. Its index depends on the number of boundary conditions. The existence results of Landesman-Lazer type are given as an application to nonlinear problems by using dual generalized boundary value problems.
Elgindi, M.B.M., Guan, Zhengyuan (1997)
International Journal of Mathematics and Mathematical Sciences
Mikolaitis, David W. (2001)
Mathematical Problems in Engineering
Tskhovrebadze, G. (1994)
Georgian Mathematical Journal
Philip Hartman (1983)
Annales Polonici Mathematici
Gritsans, Armands, Sadyrbaev, Felix Zh. (2007)
Proceedings of Equadiff 11
Huang, Shenghuai, Zhou, Zhan (2009)
Advances in Difference Equations [electronic only]
Galewski, Marek (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Dang, Hai, Schmitt, Klaus, Shivaji, R. (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]