Nonexistence of Unbounded Nonoscillatory Solutions of Partial Difference Equations
Copyright policy )Nonexistence of Unbounded Nonoscillatory Solutions of Partial Difference Equations
The authors develop criteria for the nonexistence of eventually positive (negative) and nondecreasing (nonincreasing) solutions of the partial difference equation \[ \nabla_m \nabla_n y(m,n)+ P\bigl(m,n,y (m+k, n+l)\bigr) =Q \bigl(m,n, y(m+k,n-l) \bigr) \] and \[ \nabla_m \nabla_n y(m,n)+ \sum^\tau_{i=1} P_i\bigl(m,n,y (m+k_i, n+l_i)\bigr)= \sum^\tau_{i= 1} Q_i \bigl(m,n,y (m+k_i,n+l_i) \bigr). \] Several examples which dwell upon the importance of the results are also included.
- National University of Singapore Singapore
- Nanyang Technological University Singapore
- National University of Singapore Libraries Singapore
positive solutions, unbounded nonoscillatory solutions, Applied Mathematics, Discrete version of topics in analysis, partial difference equation, Additive difference equations, Analysis, 510
positive solutions, unbounded nonoscillatory solutions, Applied Mathematics, Discrete version of topics in analysis, partial difference equation, Additive difference equations, Analysis, 510
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