## Singular discrete $$(n,p)$$ boundary value problems.(English)Zbl 0970.39006

The authors establish conditions for the existence of a nonnegative solution for the singular discrete $$(n,p)$$ boundary value problem.

### MSC:

 39A11 Stability of difference equations (MSC2000)
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### References:

 [1] Agarwal, R.P., Difference equations and inequalities, (1992), Marcel Dekker New York · Zbl 0784.33008 [2] R.P. Agarwal, D. O’Regan and P.J.Y. Wong, Positive Solutions of Differential, Difference and Integral Equations, Kluwer Academic, Dordrecht (to appear). [3] Hartman, P., Difference equations: disconjugacy, principal solutions, Green’s functions, complete monotonicy, Trans. amer. math. soc., 246, 1-30, (1978) · Zbl 0409.39001 [4] Agarwal, R.P.; O’Regan, D., A fixed point approach for nonlinear discrete boundary value problems, Computers math. applic., 36, 10-12, 115-121, (1998) · Zbl 0933.39004 [5] O’Regan, D., Existence theory for nonlinear ordinary differential equations, (1997), Kluwer Academic Dordrecht · Zbl 1077.34505 [6] Agarwal, R.P., Focal boundary value problems for differential and difference equations, (1998), Kluwer Academic Dordrecht · Zbl 0914.34001 [7] Agarwal, R.P.; Henderson, J.; Wong, P.J.Y., On superlinear and sublinear (n, p) boundary value problems for higher order difference equations, Nonlinear world, 4, 101-115, (1997) · Zbl 0902.39004 [8] Agarwal, R.P.; O’Regan, D., Singular discrete boundary value problems, Appl. math. lett., 12, 4, 127-131, (1999) · Zbl 0944.39003 [9] Agarwal, R.P.; Wong, P.J.Y., Advanced topics in difference equations, (1997), Kluwer Academic Dordrecht · Zbl 0914.39005 [10] Lasota, A., A discrete boundary value problem, Ann. polon. math., 20, 183-190, (1968) · Zbl 0157.15602 [11] Wong, P.J.Y.; Agarwal, R.P., Double positive solutions of (n, p) boundary value problems for higher order difference equations, Computers math. applic., 38, 8, 1-21, (1997) · Zbl 0873.39008 [12] Wong, P.J.Y.; Agarwal, R.P., Eigenvalue of an nth order difference equation with (n, p) type conditions, Dynamics of continuous, discrete and impulsive systems, 4, 149-172, (1998)
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