Berikelashvili, G.; Jokhadze, O.; Kharibegashvili, S.; Midodashvili, B. Finite difference solution of a nonlinear Klein-Gordon equation with an external source. (English) Zbl 1215.65138 Math. Comput. 80, No. 274, 847-862 (2011). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 35L70 35Q40 65M12 PDFBibTeX XMLCite \textit{G. Berikelashvili} et al., Math. Comput. 80, No. 274, 847--862 (2011; Zbl 1215.65138) Full Text: DOI
Kharibegashvili, S. On the solvability of the Cauchy characteristic problem for a nonlinear equation with iterated wave operator in the principal part. (English) Zbl 1138.35068 J. Math. Anal. Appl. 338, No. 1, 71-81 (2008). MSC: 35M20 35L05 35L75 PDFBibTeX XMLCite \textit{S. Kharibegashvili}, J. Math. Anal. Appl. 338, No. 1, 71--81 (2008; Zbl 1138.35068) Full Text: DOI
Kharibegashvili, S. On the solvability of one multidimensional version of the first Darboux problem for some nonlinear wave equations. (English) Zbl 1132.35418 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 912-924 (2008). MSC: 35L70 35L20 PDFBibTeX XMLCite \textit{S. Kharibegashvili}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 912--924 (2008; Zbl 1132.35418) Full Text: DOI
Kharibegashvili, S. S. On the existence or absence of global solutions for the multidimensional version of the second Darboux problem for some nonlinear hyperbolic equations. (English. Russian original) Zbl 1131.35365 Differ. Equ. 43, No. 3, 402-416 (2007); translation from Differ. Uravn. 43, No. 3, 388-401 (2007). MSC: 35L70 35L20 35A05 PDFBibTeX XMLCite \textit{S. S. Kharibegashvili}, Differ. Equ. 43, No. 3, 402--416 (2007; Zbl 1131.35365); translation from Differ. Uravn. 43, No. 3, 388--401 (2007) Full Text: DOI
Kharibegashvili, S. S. On the nonexistence of global solutions of the characteristic Cauchy problem for a nonlinear wave equation in a conical domain. (English. Russian original) Zbl 1131.35366 Differ. Equ. 42, No. 2, 279-290 (2006); translation from Differ. Uravn. 42, No. 2, 261-271 (2006). MSC: 35L70 35L15 PDFBibTeX XMLCite \textit{S. S. Kharibegashvili}, Differ. Equ. 42, No. 2, 279--290 (2006; Zbl 1131.35366); translation from Differ. Uravn. 42, No. 2, 261--271 (2006) Full Text: DOI