caa a22 4500 477094198 CHVBK 20180405111523.0 cr unu---uuuuu 170330e19960401xx s 000 0 eng 10.1007/BF01827809 doi (NATIONALLICENCE)springer-10.1007/BF01827809 Veit Jan Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University, Technická 2, 16627, Praha 6, Czech Republic aut Boundary value problems for partial difference equations [Elektronische Daten] [Jan Veit] The generalized boundary value problem for a linear multidimensional (partial) difference equation with nonconstant coefficients on an arbitrary set in the multidimensional discrete space is formulated. For the equation with a dominant (or semidominant) central coefficient, theorems concerning the uniqueness of the solution are proved (Section 2). In Section 3, the definition and known general properties of the fundamental solution are recalled, in particular if the coefficients of the equation are constants. The fundamental solution is used for the proof of existence of the solution as well as for its construction. This problem is dealt with in the remaining parts of the paper. Section 4. is devoted to the case when the fundamental solution tends to zero limit at infinity and Section 5. to the case when the fundamental solution logarithmically increases. Kluwer Academic Publishers, 1996 linear difference equations nationallicence n-D sequences nationallicence boundary value problems nationallicence fundamental solution nationallicence bounded solutions nationallicence generalized boundary conditions nationallicence Multidimensional Systems and Signal Processing Kluwer Academic Publishers 7/2(1996-04-01), 113-134 0923-6082 7:2<113 1996 7 11045 https://doi.org/10.1007/BF01827809 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01827809 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Veit Jan Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University, Technická 2, 16627, Praha 6, Czech Republic aut NATIONALLICENCE 773 0- Multidimensional Systems and Signal Processing Kluwer Academic Publishers 7/2(1996-04-01), 113-134 0923-6082 7:2<113 1996 7 11045 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer