Nonlinear boundary value problems on time scales
Nonlinear Analysis: Theory, Methods & Applications
Positive solutions for eigenvalue problems on a measure chain
Nonlinear Analysis: Theory, Methods & Applications
Eigenvalue intervals for a two-point boundary value problem on a measure chain
Journal of Computational and Applied Mathematics - Dynamic equations on time scales
Even order nonlinear eigenvalue problems on a measure chain
Nonlinear Analysis: Theory, Methods & Applications
Multiple positive solutions for nonlinear dynamical systems on a measure chain
Journal of Computational and Applied Mathematics
Existence of positive solutions to second-order time scale systems
Computers & Mathematics with Applications
Positive solutions for a nonlinear differential equation on a measure chain
Mathematical and Computer Modelling: An International Journal
Controlling wound healing through debridement
Mathematical and Computer Modelling: An International Journal
| Hi-index | 7.29 |
In this paper we consider the following n-dimensional second-order nonlinear system on time scalesu^@D^@D(t)+@la(t)f(u^@s(t))=0,t@?[a,b]"Twith the Sturm-Liouville boundary conditions@au(a)-@bu^@D(a)=0,@cu(@s(b))+@du^@D(@s(b))=0,where u=(u"1,...,u"n), @a=diag[@a"1,...,@a"n], @b=diag[@b"1,...,@b"n],@c=diag[@c"1,...,@c"n],@d=diag[@d"1,...,@d"n]. Let f"0=@?"i"="1^nlim"@?"u"@?"-"0f^i(u)/@?u@? and f"~=@?"i"="1^nlim@?u@?-~f^i(u)/@?u@?. Define i"0= number of zeros in the set {f"0,f"~} and i"~= number of infinities in the set {f"0,f"~}. By using fixed point index theory, we show that:(i)if i"0=1 or 2, then there exist @l"00 such that the system has i"0 positive solution(s) for @l@l"0; (ii)if i"~=1 or 2, then there exist @l"00 such that the system has i"0 positive solution(s) for 00, respectively.