Liiko, V. V. Strongly elliptic differential-difference equations with mixed boundary conditions in a bounded domain. (English) Zbl 1528.39004 Complex Var. Elliptic Equ. 68, No. 12, 2034-2058 (2023). MSC: 39A27 39A70 39A14 47B39 47E07 PDFBibTeX XMLCite \textit{V. V. Liiko}, Complex Var. Elliptic Equ. 68, No. 12, 2034--2058 (2023; Zbl 1528.39004) Full Text: DOI
Qin, Zhongyun; Sun, Shurong A coupled system involving nonlinear fractional \(q\)-difference stationary Schrödinger equation. (English) Zbl 1508.39007 J. Appl. Math. Comput. 68, No. 5, 3317-3325 (2022). MSC: 39A13 39A27 26A33 47N20 PDFBibTeX XMLCite \textit{Z. Qin} and \textit{S. Sun}, J. Appl. Math. Comput. 68, No. 5, 3317--3325 (2022; Zbl 1508.39007) Full Text: DOI
Qin, Zhongyun; Sun, Shurong; Han, Zhenlai Multiple positive solutions for nonlinear fractional \(q\)-difference equation with \(p\)-Laplacian operator. (English) Zbl 1498.39011 Turk. J. Math. 46, No. 2, SI-1, 638-661 (2022). MSC: 39A13 39A27 26A33 PDFBibTeX XMLCite \textit{Z. Qin} et al., Turk. J. Math. 46, No. 2, 638--661 (2022; Zbl 1498.39011) Full Text: DOI
Duan, Lei; Chen, Tianlan Existence of convex solutions for a discrete mixed boundary value problem with the mean curvature operator. (Chinese. English summary) Zbl 1524.39027 Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 2, 379-386 (2022). MSC: 39A27 39A12 47H10 PDFBibTeX XMLCite \textit{L. Duan} and \textit{T. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 42, No. 2, 379--386 (2022; Zbl 1524.39027) Full Text: Link
Lin, Genghong; Yu, Jianshe Existence of a ground-state and infinitely many homoclinic solutions for a periodic discrete system with sign-changing mixed nonlinearities. (English) Zbl 1486.39023 J. Geom. Anal. 32, No. 4, Paper No. 127, 35 p. (2022). MSC: 39A27 39A12 39A22 39A70 PDFBibTeX XMLCite \textit{G. Lin} and \textit{J. Yu}, J. Geom. Anal. 32, No. 4, Paper No. 127, 35 p. (2022; Zbl 1486.39023) Full Text: DOI
Fradelizi, Matthieu; Madiman, Mokshay; Zvavitch, Artem Sumset estimates in convex geometry. arXiv:2206.01565 Preprint, arXiv:2206.01565 [math.MG] (2022). MSC: 52A40 52A39 52A20 39B62 BibTeX Cite \textit{M. Fradelizi} et al., ``Sumset estimates in convex geometry'', Preprint, arXiv:2206.01565 [math.MG] (2022) Full Text: arXiv OA License
Liiko, V. V. Mixed boundary value problem for strongly elliptic differential difference equations in a bounded domain. (English) Zbl 1468.35051 Russ. J. Math. Phys. 28, No. 2, 270-274 (2021). MSC: 35J25 39A05 35A01 35A02 PDFBibTeX XMLCite \textit{V. V. Liiko}, Russ. J. Math. Phys. 28, No. 2, 270--274 (2021; Zbl 1468.35051) Full Text: DOI
Graef, John R.; Kong, Lingju; Wang, Min A variational framework for a second order discrete boundary value problem with mixed periodic boundary conditions. (English) Zbl 1468.39004 Result. Math. 76, No. 2, Paper No. 98, 12 p. (2021). MSC: 39A27 39A12 34B15 49K30 PDFBibTeX XMLCite \textit{J. R. Graef} et al., Result. Math. 76, No. 2, Paper No. 98, 12 p. (2021; Zbl 1468.39004) Full Text: DOI
Li, Shuai; Zhang, Zhixin; Jiang, Wei Multiple positive solutions for four-point boundary value problem of fractional delay differential equations with \(p\)-Laplacian operator. (English) Zbl 07354394 Appl. Numer. Math. 165, 348-356 (2021). MSC: 47Hxx 39Axx 34Bxx 65Jxx 47Nxx PDFBibTeX XMLCite \textit{S. Li} et al., Appl. Numer. Math. 165, 348--356 (2021; Zbl 07354394) Full Text: DOI
Howard, Kimberly; Wang, Long; Wang, Min Existence of multiple solutions to a discrete boundary value problem with mixed periodic boundary conditions. (English) Zbl 1468.39005 Involve 13, No. 4, 673-681 (2020). MSC: 39A27 39A12 PDFBibTeX XMLCite \textit{K. Howard} et al., Involve 13, No. 4, 673--681 (2020; Zbl 1468.39005) Full Text: DOI
Kong, Lingju; Wang, Min Multiple and particular solutions of a second order discrete boundary value problem with mixed periodic boundary conditions. (English) Zbl 1474.39036 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 47, 13 p. (2020). MSC: 39A27 34B15 49K30 PDFBibTeX XMLCite \textit{L. Kong} and \textit{M. Wang}, Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 47, 13 p. (2020; Zbl 1474.39036) Full Text: DOI
Liiko, V. V.; Skubachevskii, A. L. Mixed problems for strongly elliptic differential-difference equations in a cylinder. (English. Russian original) Zbl 1442.39023 Math. Notes 107, No. 5, 770-790 (2020); translation from Mat. Zametki 107, No. 5, 693-716 (2020). MSC: 39A70 39A12 35J99 PDFBibTeX XMLCite \textit{V. V. Liiko} and \textit{A. L. Skubachevskii}, Math. Notes 107, No. 5, 770--790 (2020; Zbl 1442.39023); translation from Mat. Zametki 107, No. 5, 693--716 (2020) Full Text: DOI
Kong, Lingju; Wang, Min Existence of solutions for a second order discrete boundary value problem with mixed periodic boundary conditions. (English) Zbl 1440.39005 Appl. Math. Lett. 102, Article ID 106138, 7 p. (2020). MSC: 39A27 39A12 PDFBibTeX XMLCite \textit{L. Kong} and \textit{M. Wang}, Appl. Math. Lett. 102, Article ID 106138, 7 p. (2020; Zbl 1440.39005) Full Text: DOI Link
Yang, Chen Positive solutions for a three-point boundary value problem of fractional \(q\)-difference equations. (English) Zbl 1423.39010 Symmetry 10, No. 9, Paper No. 358, 15 p. (2018). MSC: 39A13 34K37 34B18 33D05 PDFBibTeX XMLCite \textit{C. Yang}, Symmetry 10, No. 9, Paper No. 358, 15 p. (2018; Zbl 1423.39010) Full Text: DOI
Zdanowicz, Małgorzata; Peradzyński, Zbigniew Mixed problem for quasilinear hyperbolic system with coefficients functionally dependent on solution. (English) Zbl 1424.35248 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 25, No. 3, 215-244 (2017). MSC: 35L50 39Bxx 65M25 82D10 PDFBibTeX XMLCite \textit{M. Zdanowicz} and \textit{Z. Peradzyński}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 25, No. 3, 215--244 (2017; Zbl 1424.35248) Full Text: DOI
Xiang, Tian; Georgiev, Svetlin Georgiev Noncompact-type Krasnoselskii fixed-point theorems and their applications. (English) Zbl 1347.35011 Math. Methods Appl. Sci. 39, No. 4, 833-863 (2016). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 35A16 47H10 35F20 35M12 35R10 39A23 82C70 PDFBibTeX XMLCite \textit{T. Xiang} and \textit{S. G. Georgiev}, Math. Methods Appl. Sci. 39, No. 4, 833--863 (2016; Zbl 1347.35011) Full Text: DOI
Liu, Xia; Zhang, Yuanbiao; Shi, Haiping Nonexistence and existence results for a \(2n\)th-order discrete mixed boundary value problem. (English) Zbl 1326.39005 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 109, No. 2, 303-314 (2015). Reviewer: Qi Wang (Hefei) MSC: 39A12 39A10 34B15 PDFBibTeX XMLCite \textit{X. Liu} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 109, No. 2, 303--314 (2015; Zbl 1326.39005) Full Text: DOI
Li, Xinhui; Han, Zhenlai; Sun, Shurong; Zhao, Ping Existence of solutions for fractional \(q\)-difference equation with mixed nonlinear boundary conditions. (English) Zbl 1343.39021 Adv. Difference Equ. 2014, Paper No. 326, 14 p. (2014). MSC: 39A13 34B18 34A08 PDFBibTeX XMLCite \textit{X. Li} et al., Adv. Difference Equ. 2014, Paper No. 326, 14 p. (2014; Zbl 1343.39021) Full Text: DOI
Chen, Mu-Fa; Wang, Lingdi; Zhang, Yuhui Mixed eigenvalues of discrete \(p\)-Laplacian. (English) Zbl 1336.39004 Front. Math. China 9, No. 6, 1261-1292 (2014). MSC: 39A12 35J92 35P30 35P15 PDFBibTeX XMLCite \textit{M.-F. Chen} et al., Front. Math. China 9, No. 6, 1261--1292 (2014; Zbl 1336.39004) Full Text: DOI arXiv
Liu, Xia; Shi, Haiping; Zhang, Yuanbiao Nonexistence and existence of solutions for a fourth-order discrete mixed boundary value problem. (English) Zbl 1308.39005 Proc. Indian Acad. Sci., Math. Sci. 124, No. 2, 179-191 (2014). MSC: 39A10 39A12 34B15 PDFBibTeX XMLCite \textit{X. Liu} et al., Proc. Indian Acad. Sci., Math. Sci. 124, No. 2, 179--191 (2014; Zbl 1308.39005) Full Text: DOI
Deng, Xiaoqing Nonexistence and existence results for a class of fourth-order difference mixed boundary value problems. (English) Zbl 1301.39002 J. Appl. Math. Comput. 45, No. 1-2, 1-14 (2014). Reviewer: Miloš Čanak (Beograd) MSC: 39A12 39A10 34B15 PDFBibTeX XMLCite \textit{X. Deng}, J. Appl. Math. Comput. 45, No. 1--2, 1--14 (2014; Zbl 1301.39002) Full Text: DOI
Manca, Vincenzo; Marchetti, Luca An algebraic formulation of inverse problems in MP dynamics. (English) Zbl 1273.68194 Int. J. Comput. Math. 90, No. 4, 845-856 (2013). MSC: 68Q42 39A10 65F30 62J05 92-08 PDFBibTeX XMLCite \textit{V. Manca} and \textit{L. Marchetti}, Int. J. Comput. Math. 90, No. 4, 845--856 (2013; Zbl 1273.68194) Full Text: DOI
Graef, John R.; Kong, Lingju; Wang, Min; Yang, Bo Uniqueness and parameter dependence of positive solutions of a discrete fourth-order problem. (English) Zbl 1277.39011 J. Difference Equ. Appl. 19, No. 7, 1133-1146 (2013). Reviewer: Oleg Anashkin (Simferopol) MSC: 39A12 39A10 34B08 34B15 39A22 65Q10 PDFBibTeX XMLCite \textit{J. R. Graef} et al., J. Difference Equ. Appl. 19, No. 7, 1133--1146 (2013; Zbl 1277.39011) Full Text: DOI
Yuan, Chengjun; Wen, Xiangdan; Jiang, Daqing Existence and uniqueness of positive solutions for nonlinear singular \(2m\)th-order continuous and discrete Lidstone boundary value problems. (English) Zbl 1240.34080 Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 1, 281-291 (2011). MSC: 34B15 34B16 39A10 47N20 34B18 PDFBibTeX XMLCite \textit{C. Yuan} et al., Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 1, 281--291 (2011; Zbl 1240.34080) Full Text: DOI
Yuan, Chengjun; Wen, Xiangdan; Meng, Qingyuan Existence and uniqueness of positive solutions for fourth-order nonlinear singular discrete boundary value problems with \(p\)-Laplacian operator. (Chinese. English summary) Zbl 1227.39013 J. Northeast Norm. Univ., Nat. Sci. Ed. 42, No. 1, 5-9 (2010). MSC: 39A22 39A12 34B15 PDFBibTeX XMLCite \textit{C. Yuan} et al., J. Northeast Norm. Univ., Nat. Sci. Ed. 42, No. 1, 5--9 (2010; Zbl 1227.39013)
Rachůnková, Irena; Rachůnek, Lukáš Singular discrete and continuous mixed boundary value problems. (English) Zbl 1173.34010 Math. Comput. Modelling 49, No. 3-4, 413-422 (2009). MSC: 34B15 34A45 39A10 47N20 PDFBibTeX XMLCite \textit{I. Rachůnková} and \textit{L. Rachůnek}, Math. Comput. Modelling 49, No. 3--4, 413--422 (2009; Zbl 1173.34010) Full Text: DOI
Yuan, Chengjun; Jiang, Daqing; O’Regan, Donal; Agarwal, Ravi P. Existence and uniqueness of positive solutions of boundary value problems for coupled systems of singular second-order three-point non-linear differential and difference equations. (English) Zbl 1168.34017 Appl. Anal. 87, No. 8, 921-932 (2008). Reviewer: Mirosława Zima (Rzeszow) MSC: 34B18 34B15 34B16 39A10 47N20 PDFBibTeX XMLCite \textit{C. Yuan} et al., Appl. Anal. 87, No. 8, 921--932 (2008; Zbl 1168.34017) Full Text: DOI
Yuan, Chengjun; Jiang, Daqing; O’Regan, Donal Existence and uniqueness of positive solutions for fourth-order nonlinear singular continuous and discrete one-dimension \(p\)-Laplacian problems. (English) Zbl 1165.39019 Panam. Math. J. 18, No. 3, 31-46 (2008). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A12 34B16 PDFBibTeX XMLCite \textit{C. Yuan} et al., Panam. Math. J. 18, No. 3, 31--46 (2008; Zbl 1165.39019)
Rachůnková, Irena; Rachůnek, Lukáš Singular discrete problem arising in the theory of shallow membrane caps. (English) Zbl 1158.39012 J. Difference Equ. Appl. 14, No. 7, 747-767 (2008). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A12 39A20 34B16 74K15 PDFBibTeX XMLCite \textit{I. Rachůnková} and \textit{L. Rachůnek}, J. Difference Equ. Appl. 14, No. 7, 747--767 (2008; Zbl 1158.39012) Full Text: DOI
Kunkel, Curtis J. Singular second order boundary value problems on purely discrete time scales. (English) Zbl 1138.39019 J. Difference Equ. Appl. 14, No. 4, 411-420 (2008). MSC: 39A12 34B16 39A11 39A10 PDFBibTeX XMLCite \textit{C. J. Kunkel}, J. Difference Equ. Appl. 14, No. 4, 411--420 (2008; Zbl 1138.39019) Full Text: DOI
Kunkel, Curtis J. Singular discrete third order boundary value problems. (English) Zbl 1109.39008 Commun. Appl. Nonlinear Anal. 13, No. 3, 27-38 (2006). Reviewer: Rodica Luca (Iaşi) MSC: 39A11 39A10 39A12 34B16 PDFBibTeX XMLCite \textit{C. J. Kunkel}, Commun. Appl. Nonlinear Anal. 13, No. 3, 27--38 (2006; Zbl 1109.39008)
Rachůnková, Irena; Rachůnek, Lukáš Singular discrete second order BVPs with \(p\)-Laplacian. (English) Zbl 1106.39021 J. Difference Equ. Appl. 12, No. 8, 811-819 (2006). Reviewer: Zhiming Guo (Guangzhou) MSC: 39A12 39A70 39A11 PDFBibTeX XMLCite \textit{I. Rachůnková} and \textit{L. Rachůnek}, J. Difference Equ. Appl. 12, No. 8, 811--819 (2006; Zbl 1106.39021) Full Text: DOI
Sabitov, K. B.; Mugafarov, M. F. Extremal properties of solutions of the Tricomi difference problem for a grid system of equations of mixed type and their applications. (English, Russian) Zbl 1118.35015 Russ. Math. 49, No. 4, 53-66 (2005); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2005, No. 4, 56-69 (2005). MSC: 35M10 39A99 35B50 35A05 65M06 PDFBibTeX XMLCite \textit{K. B. Sabitov} and \textit{M. F. Mugafarov}, Russ. Math. 49, No. 4, 53--66 (2005; Zbl 1118.35015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2005, No. 4, 56--69 (2005)
Mechenov, Alexander S. Pseudosolution of linear functional equations. Parameters estimation of linear functional relationships. (English) Zbl 1077.62052 Mathematics and its Applications (Springer) 576. New York, NY: Springer (ISBN 0-387-24505-7/hbk). ix, 238 p. (2005). Reviewer: Yuehua Wu (Toronto) MSC: 62J05 62-02 65Q05 65R20 65-02 39B05 45A05 65C60 PDFBibTeX XMLCite \textit{A. S. Mechenov}, Pseudosolution of linear functional equations. Parameters estimation of linear functional relationships. New York, NY: Springer (2005; Zbl 1077.62052)
Ivleva, A. I.; Khe Kan Cher Numerical solution of a boundary value problem for a model equation with two perpendicular lines of the change in type. (Russian) Zbl 0904.35005 Vragov, V. N. (ed.), Equations of nonclassical type. Interuniversity collection of scientific works. Novosibirsk: Novosibirskij Gosudarstvennyj Universitet, 54-63 (1997). Reviewer: S.G.Pyatkov (Novosibirsk) MSC: 65M99 65N99 35M10 39A10 PDFBibTeX XMLCite \textit{A. I. Ivleva} and \textit{Khe Kan Cher}, in: Uravneniya neklassicheskogo tipa. Mezhvuzovskij sbornik nauchnykh trudov. Novosibirsk: Novosibirskij Gosudarstvennyj Universitet. 54--63 (1997; Zbl 0904.35005)
Suzuki, Kazumasa Initial-boundary value problem for some quasilinear parabolic equations which can be degenerate with respect to independent variables. Existence and uniqueness of solutions. (English) Zbl 0900.35205 Bull. Fukuoka Univ. Educ., Part III 42, 3-11 (1993). MSC: 35K65 35D05 35K60 39A12 PDFBibTeX XMLCite \textit{K. Suzuki}, Bull. Fukuoka Univ. Educ., Part III 42, 3--11 (1993; Zbl 0900.35205)
Dzhuraev, A. Systems of equations of composite type. Transl. from the Russian by H. Begehr and Lin Wei. (English) Zbl 0685.35077 Pitman Monographs and Surveys in Pure and Applied Mathematics, 44. Harlow: Longman Scientific & Technical; New York etc.: John Wiley & Sons. xv, 333 p. £42.00 (1989). Reviewer: A.Müller-Rettkowski MSC: 35M99 35-02 30G20 45K05 45Exx 39B99 PDFBibTeX XMLCite \textit{A. Dzhuraev}, Systems of equations of composite type. Transl. from the Russian by H. Begehr and Lin Wei. Harlow: Longman Scientific \&| Technical; New York etc.: John Wiley \&| Sons (1989; Zbl 0685.35077)
Wojtowicz, Jacek On the difference maximum principle for an elliptic differential operator of mixed type. (English) Zbl 0476.65066 Demonstr. Math. 14, 233-238 (1981). MSC: 65N06 35J25 39A70 PDFBibTeX XMLCite \textit{J. Wojtowicz}, Demonstr. Math. 14, 233--238 (1981; Zbl 0476.65066) Full Text: DOI
Lavrent’ev, M. M. Properties of approximate solutions of nonlinear equations of variable type. (English) Zbl 0467.35062 Sib. Math. J. 21, 874-882 (1981). MSC: 35K60 35B45 65N30 35M99 35A35 39A10 PDFBibTeX XMLCite \textit{M. M. Lavrent'ev}, Sib. Math. J. 21, 874--882 (1981; Zbl 0467.35062) Full Text: DOI EuDML
Andzhejchak, I. A.; Bojko, I. M. Determination of eigenvalues of the finite-difference Laplace operator for domains composed of rectangles with boundary value conditions of mixed type. (Russian) Zbl 0481.65061 Vestn. L’vov. Politekh. Inst. 141, 3-5 (1980). MSC: 65N25 35J05 35P15 39A70 PDFBibTeX XML
Lavrent’ev, M. M. On properties of approximate solutions of non-linear equations of variable type. (Russian) Zbl 0457.35045 Sib. Mat. Zh. 21, No. 6, 165-175 (1980). MSC: 35K60 35M99 35A35 39A10 PDFBibTeX XMLCite \textit{M. M. Lavrent'ev}, Sib. Mat. Zh. 21, No. 6, 165--175 (1980; Zbl 0457.35045) Full Text: EuDML
Abuladze, I. O. Difference schemes of increased order of approximation for a differential equation of second order of elliptic type with mixed derivatives. (Georgian) Zbl 0425.35009 Tr. Tbilis. Univ. 176, Mat. Mekh. Astron. 49-54 (1976). MSC: 65M99 65N99 39A10 35J15 65N12 PDFBibTeX XML
Volkov, E. A. On the regular composite difference method for Laplace’s equation on polygons. (English. Russian original) Zbl 0398.65068 Proc. Steklov Inst. Math. 140, 71-109 (1979); translation from Tr. Mat. Inst. Steklov 140, 68-102 (1976). MSC: 65N22 35J05 65N06 65N12 39A10 65N15 PDFBibTeX XMLCite \textit{E. A. Volkov}, Proc. Steklov Inst. Math. 140, 71--109 (1976; Zbl 0398.65068); translation from Tr. Mat. Inst. Steklov 140, 68--102 (1976)