Quadratic functionals for second order matrix equations on time scales
Non-Linear Analysis
Sturm-Liouville eigenvalue problems on time scales
Applied Mathematics and Computation
Journal of Computational and Applied Mathematics - Fixed point theory with applications in nonlinear analysis
A coupled system of difference equations
Applied Mathematics and Computation
Nonlinear boundary value problems on time scales
Nonlinear Analysis: Theory, Methods & Applications
Existence theorems for a system of difference equations with (n,p)-type conditions
Applied Mathematics and Computation
Positive solutions for eigenvalue problems on a measure chain
Nonlinear Analysis: Theory, Methods & Applications
Existence of three positive solutions to a second-order boundary value problem on a measure chain
Journal of Computational and Applied Mathematics - Dynamic equations on time scales
Twin solutions of boundary value problems for differential equations on measure chains
Journal of Computational and Applied Mathematics - Dynamic equations on time scales
Multiple positive solutions for nonlinear dynamical systems on a measure chain
Journal of Computational and Applied Mathematics
Positive solutions for a nonlinear differential equation on a measure chain
Mathematical and Computer Modelling: An International Journal
Existence of solutions for nonlinear BVPs of second-order differential equations on measure chains
Mathematical and Computer Modelling: An International Journal
On the number of positive solutions of systems of nonlinear dynamic equations on time scales
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Mathematical and Computer Modelling: An International Journal
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In this paper, the author consider the following dynamic system on a measure chain, u"i^@D^@D(t)+f"i(t,u"1(@s(t)),u"2(@s(t)),...,u"n(@s(t)))=0,t@?[a,b], satisfying Sturm-Liouville boundary conditions, @a"iu"i(a)-@b"iu"i^@D(a)=0,@c"iu"i(@s(b))+@d"iu"i^@D(@s(b))=0,i=1,2,...,n. Some new results are obtained for the existence of single, twin, and triple positive solutions of the above system by using nonlinear alternative of Leray-Schauder type, Krasnosel'skii's fixed-point theorem in a cone and Leggett-Williams fixed-point theorem.