caa a22 4500 467952655 CHVBK 20180405193744.0 cr unu---uuuuu 170328e20041101xx s 000 0 eng 10.1007/s10440-005-1585-3 doi (NATIONALLICENCE)springer-10.1007/s10440-005-1585-3 (NATIONALLICENCE)springer-10.1007/s10440-004-2585-4 Three solutions of constant sign for a system of discrete equations [Elektronische Daten] [Ravi Agarwal, Donal O'Regan, Patricia Wong] We consider the following system of discrete equations $$u_i \left( k \right) = \sum\limits_{\ell = 0}^N {g_i \left( {k,\ell } \right)P_i \left( {\ell ,u_1 \left( \ell \right),u_2 \left( \ell \right),...,u_n \left( \ell \right)} \right),k \in \left\{ {0,1,...,T} \right\},1 \leqslant i \leqslant n} $$ . Criteria for the existence of three constant-sign solutions of the system will be developed. To illustrate the generality of the results obtained, we include applications to several well-known boundary value problems. Parallel results are also established for a system on {0,1,...} $$u_i \left( k \right) = \sum\limits_{\ell = 0}^\infty {g_i \left( {k,\ell } \right)P_i \left( {\ell ,u_1 \left( \ell \right),u_2 \left( \ell \right),...,u_n \left( \ell \right)} \right),k \in \left\{ {0,1,...} \right\},1 \leqslant i \leqslant n} $$ . Kluwer Academic Publishers, 2004 constant-sign solutions nationallicence system of discrete equations nationallicence boundary value problems nationallicence Agarwal Ravi Department of Mathematical Sciences, Florida Institute of Technology, 32901-6975, Melbourne, FL, U.S.A. aut O'Regan Donal Department of Mathematics, National University of Ireland, Galway, Ireland aut Wong Patricia School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, Singapore, Singapore aut Acta Applicandae Mathematica Kluwer Academic Publishers 84/2(2004-11-01), 121-162 0167-8019 84:2<121 2004 84 10440 https://doi.org/10.1007/s10440-005-1585-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-005-1585-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Agarwal Ravi Department of Mathematical Sciences, Florida Institute of Technology, 32901-6975, Melbourne, FL, U.S.A aut NATIONALLICENCE 700 1- O'Regan Donal Department of Mathematics, National University of Ireland, Galway, Ireland aut NATIONALLICENCE 700 1- Wong Patricia School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, 639798, Singapore, Singapore aut NATIONALLICENCE 773 0- Acta Applicandae Mathematica Kluwer Academic Publishers 84/2(2004-11-01), 121-162 0167-8019 84:2<121 2004 84 10440 NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-004-2585-4 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer