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Positive Solutions of Semipositone BVPs for Differential Systems on Time Scales
Positive solution Semipositone boundary value problem Differential systems Time scales
2011/10/12
The paper is concerned with the semipositone Sturm-Liouville-like boundary value problems of second-order differential systems on time scales with two parameters. Applying a fixed point theorem in con...
Weak Maximum Principle for Strongly Coupled Elliptic Differential Systems
Weak maximum principle strongly coupled elliptic system weak solution
2010/12/10
A classical counterexample due to E. De Giorgi, shows that the weak maximum principle
does not remain true for general linear elliptic differential systems. After that, there are some efforts to esta...
Compact integral manifolds of differential systems
ordinary differential system total differential system linear system of partial differential equations
2010/12/7
The boundedness tests for the number of compact integral manifolds of autonomous ordi-nary differential systems, of autonomous total differential systems, of linear systems of partial
differential eq...
The oscillation of linear first order differential systems
oscillatory differential system linear differential system
2009/2/9
Some sufficient conditions are established for the oscillation of first order linear
differential systems whose coefficients obey certain conditions. An example is
given to illustrate the results....
The oscillation of linear first order differential systems
oscillatory differential system linear differential system
2009/1/12
Some sufficient conditions are established for the oscillation of first order linear
differential systems whose coefficients obey certain conditions. An example is
given to illustrate the results.
TWO PERIODIC SOLUTIONS OF N-DIMENSIONAL FIRST-ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS
Fixed point theorem Periodic solution Multiplicity Neutral functional differential system ndimensional system
2008/11/26
In this paper, we establish existence, multiplicity and nonexistence of periodic solutions for a class
of first-order n-dimensional neutral functional differential equations. Our results improve the ...
A NOTE ON WEAKLY ISOTONE MAPS AND COMMON SOLUTIONS FOR DIFFERENTIAL SYSTEMS
Weakly isotone maps Differential equations Common solutions
2007/12/12
In this short note we examine the connection between weakly isotone maps and common solutions for first order Cauchy problems in ${\Bbb R}^n$ and, as a rule, in Banach lattices.
Boundedness of Nonlinear Differential Systems with Impulsive Effect on Random Moments
Impulsive differential system $p-$moment boundedness ultimate boundedness Liapunov function
2007/12/11
The model of nonlinear differential systems withimpulsive effect on random moments is brought forward in thispaper. Then, sufficient conditions for (uniform, uniform andultimate, and uniform and unif...