Kendre, Subhash; Kale, Nagesh On nonlinear Volterra-Fredholm type discrete fractional sum inequalities. (English) Zbl 1499.26133 Fract. Differ. Calc. 11, No. 1, 17-33 (2021). MSC: 26D15 26A33 39A12 PDF BibTeX XML Cite \textit{S. Kendre} and \textit{N. Kale}, Fract. Differ. Calc. 11, No. 1, 17--33 (2021; Zbl 1499.26133) Full Text: DOI OpenURL
Garif’yanov, Farkhat Nurgayazovich; Strezhneva, Elena Vasil’evna Sum-difference equation for analytic functions generated by triangle and its applications. (Russian. English summary) Zbl 1499.30315 Ufim. Mat. Zh. 13, No. 4, 17-22 (2021); translation in Ufa Math. J. 13, No. 4, 17-22 (2021). MSC: 30Exx 30E05 30E20 30E25 PDF BibTeX XML Cite \textit{F. N. Garif'yanov} and \textit{E. V. Strezhneva}, Ufim. Mat. Zh. 13, No. 4, 17--22 (2021; Zbl 1499.30315); translation in Ufa Math. J. 13, No. 4, 17--22 (2021) Full Text: DOI MNR OpenURL
Chen, Liqiang; Wang, Wusheng Estimation of unknown functions in a class of six-fold sum-difference inequalities in three independent variables. (Chinese. English summary) Zbl 1463.26048 J. Cent. China Norm. Univ., Nat. Sci. 54, No. 3, 361-367 (2020). MSC: 26D15 PDF BibTeX XML Cite \textit{L. Chen} and \textit{W. Wang}, J. Cent. China Norm. Univ., Nat. Sci. 54, No. 3, 361--367 (2020; Zbl 1463.26048) Full Text: DOI OpenURL
Chen, Liqiang; Wang, Wusheng Estimation of unknown functions in a class of nonlinear sum-difference inequalities in three independent variables. (Chinese. English summary) Zbl 1449.26025 Math. Pract. Theory 49, No. 13, 265-272 (2019). MSC: 26D15 PDF BibTeX XML Cite \textit{L. Chen} and \textit{W. Wang}, Math. Pract. Theory 49, No. 13, 265--272 (2019; Zbl 1449.26025) OpenURL
Zhong, Hua; Wang, Wusheng; Fan, Lele Estimation of unknown function of a class of sum-difference inequalities with difference of unknown function. (Chinese. English summary) Zbl 1438.26109 J. Hebei Norm. Univ., Nat. Sci. Ed. 43, No. 1, 17-22 (2019). MSC: 26D20 26D15 PDF BibTeX XML Cite \textit{H. Zhong} et al., J. Hebei Norm. Univ., Nat. Sci. Ed. 43, No. 1, 17--22 (2019; Zbl 1438.26109) Full Text: DOI OpenURL
Liu, Haidong; Meng, Fanwei Some new generalized Volterra-Fredholm type discrete fractional sum inequalities and their applications. (English) Zbl 1347.26045 J. Inequal. Appl. 2016, Paper No. 213, 16 p. (2016). MSC: 26D15 PDF BibTeX XML Cite \textit{H. Liu} and \textit{F. Meng}, J. Inequal. Appl. 2016, Paper No. 213, 16 p. (2016; Zbl 1347.26045) Full Text: DOI OpenURL
Lv, Weidong; Zhu, Xin-yun Solvability for a discrete fractional mixed type sum-difference equation boundary value problem in a Banach space. (English) Zbl 1383.39002 Bound. Value Probl. 2016, Paper No. 77, 14 p. (2016). MSC: 39A05 39A10 26A33 39A12 PDF BibTeX XML Cite \textit{W. Lv} and \textit{X.-y. Zhu}, Bound. Value Probl. 2016, Paper No. 77, 14 p. (2016; Zbl 1383.39002) Full Text: DOI OpenURL
Barseghyan, A. G. On the solution of the convolution equation with a sum-difference kernel. (Russian. English summary) Zbl 1413.45007 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 19, No. 4, 613-623 (2015). MSC: 45E10 PDF BibTeX XML Cite \textit{A. G. Barseghyan}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 19, No. 4, 613--623 (2015; Zbl 1413.45007) Full Text: DOI MNR OpenURL
Lv, Weidong; Feng, Jishe Nonlinear discrete fractional mixed type sum-difference equation boundary value problems in Banach spaces. (English) Zbl 1417.39001 Adv. Difference Equ. 2014, Paper No. 184, 12 p. (2014). MSC: 39A05 26A33 39A10 39A12 PDF BibTeX XML Cite \textit{W. Lv} and \textit{J. Feng}, Adv. Difference Equ. 2014, Paper No. 184, 12 p. (2014; Zbl 1417.39001) Full Text: DOI OpenURL
Wang, Wusheng; Li, Zizun; Zhou, Xiaoliang A new generalized sum-difference inequality with two variables and applications to BVP. (Chinese. English summary) Zbl 1289.39018 Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 2, 340-353 (2013). MSC: 39A14 39A10 26D15 39A22 PDF BibTeX XML Cite \textit{W. Wang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 33, No. 2, 340--353 (2013; Zbl 1289.39018) OpenURL
Wang, Wusheng; Li, Zizun A new nonlinear sum-difference inequality and its application. (Chinese. English summary) Zbl 1274.26075 J. Syst. Sci. Math. Sci. 32, No. 2, 181-189 (2012). MSC: 26D15 PDF BibTeX XML Cite \textit{W. Wang} and \textit{Z. Li}, J. Syst. Sci. Math. Sci. 32, No. 2, 181--189 (2012; Zbl 1274.26075) OpenURL
Pachpatte, B. G. Multidimensional integral equations and inequalities. (English) Zbl 1232.45001 Atlantis Studies in Mathematics for Engineering and Science 9. Amsterdam: Atlantis Press (ISBN 978-94-91216-16-9/hbk; 978-94-91216-17-6/ebook). x, 245 p. (2011). Reviewer: Vladimir Mityushev (Kraków) MSC: 45-02 45B05 45D05 45K05 26D15 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, Multidimensional integral equations and inequalities. Amsterdam: Atlantis Press (2011; Zbl 1232.45001) Full Text: DOI OpenURL
Pachpatte, B. G. On a certain Fredholm type sum-difference equation. (English) Zbl 1234.26048 Tamsui Oxf. J. Math. Sci. 26, No. 4, 423-432 (2010). MSC: 26D10 39A10 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, Tamsui Oxf. J. Math. Sci. 26, No. 4, 423--432 (2010; Zbl 1234.26048) OpenURL
Pachpatte, B. G. On approximate solutions of a certain sum-differences equation. (English) Zbl 1212.26036 Bul. Inst. Politeh. Iași, Secț. I, Mat. Mec. Teor. Fiz. 56(60), No. 2, 13-21 (2010). MSC: 26D10 41A10 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, Bul. Inst. Politeh. Iași, Secț. I, Mat. Mec. Teor. Fiz. 56(60), No. 2, 13--21 (2010; Zbl 1212.26036) OpenURL
Pachpatte, Baburao G. Error evaluation of approximate solutions for sum-difference equations in two variables. (English) Zbl 1173.26318 Electron. J. Differ. Equ. 2009, Paper No. 104, 8 p. (2009). MSC: 26D10 39A10 65R20 45G10 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, Electron. J. Differ. Equ. 2009, Paper No. 104, 8 p. (2009; Zbl 1173.26318) Full Text: EuDML Link OpenURL
Pachpatte, B. G. New integral and finite difference inequalities in three variables. (English) Zbl 1181.26038 Demonstr. Math. 42, No. 2, 339-349 (2009). MSC: 26D10 26D15 26D07 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, Demonstr. Math. 42, No. 2, 339--349 (2009; Zbl 1181.26038) Full Text: DOI OpenURL
Pachpatte, B. G. On a mixed sum-difference equation of Volterra-Fredholm type. (English) Zbl 1186.39006 Sarajevo J. Math. 5(17), No. 1, 55-62 (2009). Reviewer: M. Serban (Cluj-Napoca) MSC: 39A12 39A22 26D15 45G10 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, Sarajevo J. Math. 5(17), No. 1, 55--62 (2009; Zbl 1186.39006) OpenURL
Wang, Wu-Sheng A generalized sum-difference inequality and applications to partial difference equations. (English) Zbl 1149.39010 Adv. Difference Equ. 2008, Article ID 695495, 12 p. (2008). MSC: 39A11 39A10 26D15 PDF BibTeX XML Cite \textit{W.-S. Wang}, Adv. Difference Equ. 2008, Article ID 695495, 12 p. (2008; Zbl 1149.39010) Full Text: DOI EuDML OpenURL
Engibaryan, N. B. On the fixed points of monotonic operators in the critical case. (English. Russian original) Zbl 1131.45006 Izv. Math. 70, No. 5, 931-947 (2006); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 70, No. 5, 79-96 (2006). MSC: 45P05 45E10 45G05 47H07 47H10 PDF BibTeX XML Cite \textit{N. B. Engibaryan}, Izv. Math. 70, No. 5, 931--947 (2006; Zbl 1131.45006); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 70, No. 5, 79--96 (2006) Full Text: DOI OpenURL
Pachpatte, B. G. Growth estimates on certain discrete inequalities involving iterated sums. (English) Zbl 1164.26336 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 51, No. 1, 65-73 (2005). MSC: 26D10 26D15 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 51, No. 1, 65--73 (2005; Zbl 1164.26336) OpenURL
Pachpatte, B. G. Explicit bound on a certain finite difference inequality. (English) Zbl 1150.26341 Bul. Inst. Politeh. Iași, Secț. I, Mat. Mec. Teor. Fiz. 50(54), No. 1-2, 61-66 (2004). MSC: 26D15 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, Bul. Inst. Politeh. Iași, Secț. I, Mat. Mec. Teor. Fiz. 50(54), No. 1--2, 61--66 (2004; Zbl 1150.26341) OpenURL
Pachpatte, B. G. Bounds on certain integral inequalities. (English) Zbl 1006.26012 JIPAM, J. Inequal. Pure Appl. Math. 3, No. 3, Paper No. 47, 10 p. (2002). Reviewer: Quingkai Kong (DeKalb) MSC: 26D10 39A10 39A12 45K05 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, JIPAM, J. Inequal. Pure Appl. Math. 3, No. 3, Paper No. 47, 10 p. (2002; Zbl 1006.26012) Full Text: EuDML OpenURL
Yang, Enhao A new nonlinear discrete inequality and its application. (English) Zbl 0997.26009 Ann. Differ. Equations 17, No. 3, 261-267 (2001). Reviewer: B.G.Pachpatte (Aurangabad) MSC: 26D10 39A12 39A05 PDF BibTeX XML Cite \textit{E. Yang}, Ann. Differ. Equations 17, No. 3, 261--267 (2001; Zbl 0997.26009) OpenURL
Pachpatte, B. G. Generalizations of a certain inequality used in the theory of differential equations. (English) Zbl 0976.26014 An. Univ. Bucur., Mat. 47, No. 1, 73-82 (1998). MSC: 26D15 45J05 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, An. Univ. Bucur., Mat. 47, No. 1, 73--82 (1998; Zbl 0976.26014) OpenURL
Medina, R. The asymptotic behavior of the solutions of a Volterra difference equation. (English) Zbl 0880.39011 Comput. Math. Appl. 34, No. 1, 19-26 (1997). Reviewer: Lothar Berg (Rostock) MSC: 39A11 PDF BibTeX XML Cite \textit{R. Medina}, Comput. Math. Appl. 34, No. 1, 19--26 (1997; Zbl 0880.39011) Full Text: DOI OpenURL
Pachpatte, B. G. Comparison theorems related to a certain inequality used in the theory of differential equations. (English) Zbl 0867.26015 Soochow J. Math. 22, No. 3, 383-394 (1996). Reviewer: Yang En-Hao (Guangzhou) MSC: 26D15 39A12 39A10 PDF BibTeX XML Cite \textit{B. G. Pachpatte}, Soochow J. Math. 22, No. 3, 383--394 (1996; Zbl 0867.26015) OpenURL
Karadzhyan, S. G. An economical algorithm for inversion of an integral operator with the kernel representable as a sum of harmonic functions and functions depending on the sum and difference of variables. (English. Russian original) Zbl 0713.65094 Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 24, No. 3, 92-97 (1989); translation from Izv. Akad. Nauk Arm. SSR, Mat. 24, No. 3, 300-305 (1989). MSC: 65R20 45B05 PDF BibTeX XML Cite \textit{S. G. Karadzhyan}, Sov. J. Contemp. Math. Anal., Arm. Acad. Sci. 24, No. 3, 92--97 (1989; Zbl 0713.65094); translation from Izv. Akad. Nauk Arm. SSR, Mat. 24, No. 3, 300--305 (1989) OpenURL
Karadzhyan, S. G. An economical algorithm for inversion of an integral operator with a sum- difference-harmonic kernel. (Russian) Zbl 0688.65079 Izv. Akad. Nauk Arm. SSR, Mat. 24, No. 3, 300-305 (1989). Reviewer: N.L.Vasilevskij MSC: 65R20 45B05 PDF BibTeX XML Cite \textit{S. G. Karadzhyan}, Izv. Akad. Nauk Arm. SSR, Mat. 24, No. 3, 300--305 (1989; Zbl 0688.65079) OpenURL
Pachpatte, B. G. On some new discrete inequalities and their applications to a class of sum-difference equations. (English) Zbl 0444.26013 An. Stiint. Univ. Al. I. Cuza Iasi, N. Ser., Sect. Ia 24, 315-326 (1978). MSC: 26D15 39A12 39A11 PDF BibTeX XML OpenURL