# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 191 Publications since 1990, including 5 Books Reviewing Activity: 151 Reviews
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#### Co-Authors

 17 single-authored 23 Cid, José Ángel 16 Nieto Roig, Juan Jose 14 Pouso, Rodrigo L. 11 Heikkilä, Seppo V. 11 Otero-Espinar, Victoria 9 Tojo, F. Adrián F. 8 Liz, Eduardo 8 Minhós, Feliz Manuel 8 Saavedra, Lorena 8 Tersian, Stepan Agop 7 Lois, Susana 7 López-Somoza, Lucía 6 Berdyshev, Abdumauvlen Suleymanovich 6 Infante, Gennaro 5 Dimitrov, Nikolay D. 5 Ferreiro, Juan Bosco 5 Merdivenci Atici, Ferhan 5 Sanchez, Luís 5 Vivero, Dolores R. 4 Iannizzotto, Antonio 4 López Pouso, Rodrigo 3 Agarwal, Ravi P. 3 Benchohra, Mouffak 3 Habets, Patrick 3 Hamdi, Zakaria 3 Tomeček, Jan 3 Turmetov, Batirkhan Khudaybergenovich 3 Wang, Guotao 2 Dimitrijević, Slađana 2 do Rosário Grossinho, Maria 2 Enguiça, Ricardo Roque 2 Fernández Tojo, Fernando Adrián 2 Fialho, João F. 2 Franco, Daniel H. T. 2 Karimov, Erkinjon Tulkinovich 2 Rodríguez-López, Rosana 2 Simić, Suzana 2 Tomović, Tatjana V. 2 Tvrdý, Milan 1 Abbas, Said 1 Afrouzi, Ghasem Alizadeh 1 Akhtaeva, Nazgul S. 1 Anderson, Douglas Robert 1 Area, Iván 1 Ashurov, Ravshan R. 1 Barteneva, Irina V. 1 Bendouma, Bouharket 1 Birgebaev, Ahtai B. 1 Caristi, Giuseppe 1 Chyan, Chuan Jen 1 Sobreira de Araujo Corrêa, Francisco Julio 1 Dontha, Satyanarayana 1 Fernández-Gómez, Carlos 1 Figueiredo, Giovany Malcher 1 Hammoudi, Ahmed 1 Hayotov, Abdullo Rakhmonovich 1 Heidarkhani, Shapour 1 Henderson, Johnny 1 Ignatyev, Alexander O. 1 Jebari, Rochdi 1 Jebelean, Petru 1 Kadirkulov, Bakhtiyor J. 1 Kaymakçalan, Billur 1 Kisela, Tomáš 1 Li, Chengyue 1 Lomtatidze, Aleksandre 1 Maazouz, Kadda 1 Máquez-Villamarín, Beatriz 1 Moradi, Shahin 1 O’Regan, Donal 1 Pita-da-Veiga, Rafael 1 Precup, Radu 1 Rodríguez-Vivero, Dolores 1 Santos, Ana Isabel 1 Seba, Djamila 1 Shadimetov, Kholmat Mahkambaevich 1 Souroujon, Diko M. 1 Staněk, Svatoslav 1 Thompson, Harold Bevan 1 Tojo, Fernando 1 Trofimchuk, Sergei I. 1 Urazboev, Gayrat U. 1 Wang, Mingxing 1 Yakhshimuratov, Alisher Bekchanovich 1 Zanolin, Fabio 1 Zhang, Lihong
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#### Serials

 22 Applied Mathematics and Computation 18 Journal of Mathematical Analysis and Applications 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Boundary Value Problems 8 Computers & Mathematics with Applications 6 Journal of Computational and Applied Mathematics 6 Journal of Difference Equations and Applications 6 Nonlinear Analysis. Real World Applications 6 Nonlinear Analysis. Theory, Methods & Applications 5 Applied Mathematics Letters 4 Advances in Difference Equations 3 Electronic Journal of Differential Equations (EJDE) 3 Fractional Calculus & Applied Analysis 2 Mathematical Methods in the Applied Sciences 2 Mathematische Nachrichten 2 Journal of Applied Mathematics and Stochastic Analysis 2 Discrete and Continuous Dynamical Systems 2 Nonlinear Studies 2 Dynamics of Continuous, Discrete and Impulsive Systems 2 Abstract and Applied Analysis 2 The ANZIAM Journal 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Archives of Inequalities and Applications 2 Mediterranean Journal of Mathematics 1 Inverse Problems 1 Rocky Mountain Journal of Mathematics 1 Annales Polonici Mathematici 1 Archivum Mathematicum 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal of Optimization Theory and Applications 1 Proceedings of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Dynamic Systems and Applications 1 Applied Mathematical Modelling 1 Bulletin de la Classe des Sciences. 6e Série 1 Topological Methods in Nonlinear Analysis 1 Nonlinear World 1 Georgian Mathematical Journal 1 Memoirs on Differential Equations and Mathematical Physics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Differential Equations 1 Differential Equations and Dynamical Systems 1 Electronic Journal of Qualitative Theory of Differential Equations 1 Communications in Nonlinear Science and Numerical Simulation 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Advanced Nonlinear Studies 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Analysis and Applications (Singapore) 1 Fixed Point Theory 1 Fixed Point Theory and Applications 1 Journal of Mathematical Physics, Analysis, Geometry 1 AIP Conference Proceedings 1 Advances in Fuzzy Sets and Systems 1 International Journal of Difference Equations 1 Journal of Nonlinear Science and Applications 1 The Arabian Journal for Science and Engineering (AJSE). Mathematics 1 Springer Proceedings in Mathematics & Statistics 1 Atlantis Briefs in Differential Equations 1 SpringerBriefs in Mathematics
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#### Fields

 146 Ordinary differential equations (34-XX) 36 Difference and functional equations (39-XX) 31 Operator theory (47-XX) 16 Partial differential equations (35-XX) 9 Numerical analysis (65-XX) 8 Integral equations (45-XX) 7 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

158 Publications have been cited 2,067 times in 1,238 Documents Cited by Year
The method of lower and upper solutions for second, third, fourth, and higher order boundary value problems. Zbl 0807.34023
1994
Positive solutions of nonlinear fractional differential equations with integral boundary value conditions. Zbl 1232.34010
2012
Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations. Zbl 1244.34008
Wang, Guotao; Agarwal, Ravi P.; Cabada, Alberto
2012
Expression of the Lebesgue $$\Delta$$-integral on time scales as a usual Lebesgue integral; application to the calculus of $$\Delta$$-antiderivatives. Zbl 1092.39017
2006
Multiple solutions for discrete boundary value problems. Zbl 1169.39008
Cabada, Alberto; Iannizzotto, Antonio; Tersian, Stepan
2009
Nonlinear fractional differential equations with integral boundary value conditions. Zbl 1364.34010
2014
Existence results for the problem $$(\varphi(u'))'= f(t,u,u')$$ with nonlinear boundary conditions. Zbl 0920.34029
1999
Existence and uniqueness results for discrete second-order periodic boundary value problems. Zbl 1057.39008
2003
Criterions for absolute continuity on time scales. Zbl 1081.39011
2005
Positivity and lower and upper solutions for fourth order boundary value problems. Zbl 1125.34010
Cabada, Alberto; Cid, J. Ángel; Sanchez, Luís
2007
Extremal solutions of strongly nonlinear discontinuous second-order equations with nonlinear functional boundary conditions. Zbl 0964.34016
2000
The method of lower and upper solutions for third-order periodic boundary value problems. Zbl 0846.34019
1995
Existence result for the problem $$(\varphi(u'))'=f(t,u,u')$$ with periodic and Neumann boundary conditions. Zbl 0896.34016
1997
Extremal solutions for the difference $$\phi$$-Laplacian problem with nonlinear functional boundary conditions. Zbl 1001.39006
2001
On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions. Zbl 1048.34033
Cabada, Alberto; Grossinho, Maria do Rosário; Minhós, Feliz
2003
Optimal existence conditions for $$\varphi$$-Laplacian equations with upper and lower solutions in the reversed order. Zbl 0999.34011
Cabada, Alberto; Habets, Patrick; Pouso, Rodrigo L.
2000
Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions. Zbl 0789.34027
Wang, Ming-Xing; Cabada, Alberto; Nieto, Juan J.
1993
Monotone method for the Neumann problem with lower and upper solutions in the reverse order. Zbl 1031.34021
Cabada, Alberto; Habets, Patrick; Lois, Susana
2001
Maximum principles for fourth and sixth order periodic boundary value problems. Zbl 0886.34018
1997
Fixed points and approximate solutions for nonlinear operator equations. Zbl 0954.47038
2000
Green’s function and comparison principles for first order periodic differential equations with piecewise constant arguments. Zbl 1057.34089
Cabada, Alberto; Ferreiro, Juan B.; Nieto, Juan J.
2004
Existence and comparison results for difference $$\phi$$-Laplacian boundary value problems with lower and upper solutions in reverse order. Zbl 0995.39003
2002
Extremal solutions for third-order nonlinear problems with upper and lower solutions in reversed order. Zbl 1084.34013
Cabada, A.; Grossinho, M. R.; Minhós, F.
2005
Quasilinearization and rate of convergence for higher-order nonlinear periodic boundary-value problems. Zbl 0976.34015
2001
A positive operator approach to the Neumann problem for a second order ordinary differential equation. Zbl 0871.34014
1996
Green’s functions in the theory of ordinary differential equations. Zbl 1303.34001
2014
Existence theory for functional $$p$$-Laplacian equations with variable exponents. Zbl 1029.34018
2003
Extremal solutions and Green’s functions of higher order periodic boundary value problems in time scales. Zbl 1056.39018
2004
Optimal existence results for $$n$$th order periodic boundary value difference equations. Zbl 0962.39006
2000
A generalization of the monotone iterative technique for nonlinear second order periodic boundary value problems. Zbl 0719.34039
1990
An existence result for nonlinear fractional differential equations on Banach spaces. Zbl 1181.34007
Benchohra, Mouffak; Cabada, Alberto; Seba, Djamila
2009
Extremal solutions for nonlinear functional $$\varphi$$-Laplacian impulsive equations. Zbl 1124.34012
2007
Existence and approximation of solutions for first-order discontinuous difference equations with nonlinear global conditions in the presence of lower and upper solutions. Zbl 0972.39002
Cabada, A.; Otero-Espinar, V.; Pouso, R. L.
2000
The method of lower and upper solutions for $$n$$th-order periodic boundary value problems. Zbl 0801.34026
1994
Multiplicity of solutions of a two point boundary value problem for a fourth-order equation. Zbl 1294.34016
2013
Existence results for nonlinear problems with separated boundary conditions. Zbl 0918.34021
1999
Boundary value problems for higher order ordinary differential equations with impulses. Zbl 0939.34024
1998
Fully nonlinear fourth-order equations with functional boundary conditions. Zbl 1138.34008
2008
Computation of Green’s functions for boundary value problems with Mathematica. Zbl 1298.34054
Cabada, Alberto; Cid, José Ángel; Máquez-Villamarín, Beatriz
2012
An overview of the lower and upper solutions method with nonlinear boundary value conditions. Zbl 1230.34001
2011
Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations. Zbl 1083.39017
2004
Criteria for existence and nonexistence of positive solutions to a discrete periodic boundary value problem. Zbl 1056.39016
Atici, F. Merdivenci; Cabada, A.; Otero-Espinar, V.
2003
Extremal solutions of second order nonlinear periodic boundary value problems. Zbl 0723.65056
1990
A generalization of the monotone method for second order periodic boundary value problem with impulses at fixed points. Zbl 0953.34020
Cabada, Alberto; Nieto, Juan J.; Franco, Daniel; Trofimchuk, Sergei I.
2000
On first order discontinuous scalar differential equations. Zbl 0942.34008
1999
Second order problems with functional conditions including Sturm-Liouville and multipoint conditions. Zbl 1160.34013
Cabada, Alberto; O’Regan, Donal; Pouso, Rodrigo L.
2008
Existence of solution for discontinuous third order boundary value problems. Zbl 0936.34015
1999
On first order discontinuous differential equations with nonlinear boundary conditions. Zbl 0895.34006
1996
The monotone method for first-order problems with linear and nonlinear boundary conditions. Zbl 0807.34022
1994
Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications. Zbl 1366.45005
2016
Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions. Zbl 1317.34150
2014
On the sign of the Green’s function associated to Hill’s equation with an indefinite potential. Zbl 1161.34014
2008
Positive solutions of fourth order problems with clamped beam boundary conditions. Zbl 1221.34061
2011
Extremal solutions to fourth-order functional boundary value problems including multipoint conditions. Zbl 1163.34380
Cabada, Alberto; Pouso, Rodrigo López; Minhós, Feliz M.
2009
Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions. Zbl 1104.34008
Cabada, A.; Minhós, F.; Santos, A. I.
2006
Comparison results for $$n$$-th order periodic difference equations. Zbl 1042.39505
2001
A positive fixed point theorem with applications to systems of Hammerstein integral equations. Zbl 1339.47070
Cabada, Alberto; Cid, José; Infante, Gennaro
2014
Nontrivial solutions of Hammerstein integral equations with reflections. Zbl 1294.45002
2013
Multiplicity results for nonlinear periodic fourth order difference equations with parameter dependence and singularities. Zbl 1211.39009
2010
A generalized anti-maximum principle for the periodic one-dimensional $$p$$-Laplacian with sign-changing potential. Zbl 1192.34025
Cabada, Alberto; Cid, José Ángel; Tvrdý, Milan
2010
Heteroclinic solutions for non-autonomous boundary value problems with singular $$\Phi$$-Laplacian operators. Zbl 1198.34039
2009
Approximate solutions to a new class of nonlinear diffusion problems. Zbl 0937.65076
Cabada, Alberto; Nieto, Juan J.; Pouso, Rodrigo L.
1999
Discontinuous impulsive differential equations with nonlinear boundary conditions. Zbl 0878.34009
1997
On a non-local boundary problem for a parabolic-hyperbolic equation involving a Riemann-Liouville fractional differential operator. Zbl 1242.35180
Berdyshev, A. S.; Cabada, A.; Karimov, E. T.
2012
Existence of a non-zero fixed point for nondecreasing operators proved via Krasnoselskii’s fixed point theorem. Zbl 1170.47035
2009
Fixed sign solutions of second-order difference equations with Neumann boundary conditions. Zbl 1055.39001
2003
Nonlinear perturbed integral equations related to nonlocal boundary value problems. Zbl 1392.45010
2018
Solutions and Green’s function of the first order linear equation with reflection and initial conditions. Zbl 1323.34078
2014
A generalization of an extensible beam equation with critical growth in $$\mathbb{R}^N$$. Zbl 1297.35094
2014
Extremal solutions to fourth order discontinuous functional boundary value problems. Zbl 1301.34022
Cabada, Alberto; Fialho, João; Minhós, Feliz
2013
Comparison results for first order linear operators with reflection and periodic boundary value conditions. Zbl 1272.34028
2013
On homoclinic solutions of a semilinear $$p$$-Laplacian difference equation with periodic coefficients. Zbl 1207.39004
Cabada, Alberto; Li, Chengyue; Tersian, Stepan
2010
The method of lower and upper solutions for periodic and anti-periodic difference equations. Zbl 1171.39301
2007
Nagumo type existence results for second-order nonlinear dynamic BVPs. Zbl 1072.34015
Atici, F. M.; Cabada, A.; Chyan, C. J.; Kaymakçalan, B.
2005
Uniqueness, comparison, and existence results for third-order initial boundary value problems. Zbl 0991.34015
2001
Extremality and comparison results for discontinuous third order functional initial-boundary value problems. Zbl 0976.34009
2001
A note on rapid convergence of approximate solutions to an ordinary Dirichlet problem. Zbl 0955.34011
Cabada, Alberto; Nieto, Juan J.; Pita-da-Veiga, Rafael
1998
The existence of a positive solution for nonlinear fractional differential equations with integral boundary value conditions. Zbl 1362.34011
2017
On solvability of a boundary value problem for a nonhomogeneous biharmonic equation with a boundary operator of a fractional order. Zbl 1340.31004
Berdyshev, A. S.; Cabada, A.; Turmetov, B. Kh.
2014
Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations. Zbl 1319.34044
2014
New criteria for the existence of non-trivial fixed points in cones. Zbl 1428.47017
Cabada, Alberto; Cid, José Ángel; Infante, Gennaro
2013
On comparison principles for the periodic Hill’s equation. Zbl 1259.34018
2012
Existence and multiplicity of solutions for a periodic Hill’s equation with parametric dependence and singularities. Zbl 1229.34034
2011
First order difference equations with maxima and nonlinear functional boundary value conditions. Zbl 1107.39001
Atici, Ferhan M.; Cabada, Alberto; Ferreiro, Juan B.
2006
Existence of solutions of first-order dynamic equations with nonlinear functional boundary value conditions. Zbl 1224.34291
2005
Existence and uniqueness of solutions for anti-periodic difference equations. Zbl 1087.39001
Agarwal, Ravi P.; Cabada, Alberto; Otero-Espinar, Victoria; Dontha, S.
2004
Extremality and comparison results for discontinuous implicit third order functional initial-boundary value problems. Zbl 1034.34081
2003
Maximum and anti-maximum principles for the general operator of second order with variable coefficients. Zbl 1037.34014
Barteneva, Irina V.; Cabada, Alberto; Ignatyev, Alexander O.
2003
Extremality results for discontinuous explicit and implicit diffusion problems. Zbl 1016.76075
2002
Rapid convergence of the iterative technique for first order initial value problems. Zbl 0904.65067
1997
Partial neutral functional integro-differential equations of fractional order with delay. Zbl 1278.26006
Abbas, Saïd; Benchohra, Mouffak; Cabada, Alberto
2012
Positive solutions for a class of singular differential equations arising in diffusion processes. Zbl 1086.34012
Cabada, Alberto; Cid, J. Ángel; Pouso, Rodrigo López
2005
Green’s function and maximum principle for higher order ordinary differential equations with impulses. Zbl 1043.34009
Cabada, Alberto; Liz, Eduardo; Lois, Susana
2000
Operator method for construction of solutions of linear fractional differential equations with constant coefficients. Zbl 1339.34006
Ashurov, Ravshan; Cabada, Alberto; Turmetov, Batirkhan
2016
The eigenvalue characterization for the constant sign Green’s functions of $$(k,n-k)$$ problems. Zbl 1343.34194
2016
Differential equations with involutions. Zbl 1339.34002
2015
Functional fractional boundary value problems with singular $$\phi$$-Laplacian. Zbl 1296.34013
2012
Existence of positive solutions for $$n$$th-order periodic difference equations. Zbl 1226.39005
2011
Existence of heteroclinic solutions for discrete $$p$$-Laplacian problems with a parameter. Zbl 1235.39002
2011
Periodic problem involving quasilinear differential operator and weak singularity. Zbl 1146.34016
Cabada, Alberto; Lomtatidze, Alexander; Tvrdý, Milan
2007
Nonlinear perturbed integral equations related to nonlocal boundary value problems. Zbl 1392.45010
2018
A variational approach to perturbed impulsive fractional differential equations. Zbl 1434.34012
2018
Existence of solutions for $$n^{\text{th}}$$-order nonlinear differential boundary value problems by means of fixed point theorems. Zbl 1414.34018
2018
Existence of solutions of integral equations with asymptotic conditions. Zbl 1392.45011
2018
The existence of a positive solution for nonlinear fractional differential equations with integral boundary value conditions. Zbl 1362.34011
2017
On linear differential equations and systems with reflection. Zbl 1411.34089
2017
Existence, non-existence and multiplicity results for a third order eigenvalue three-point boundary value problem. Zbl 1412.34078
Cabada, Alberto; López-Somoza, Lucía; Minhós, Feliz
2017
Constant sign solution for a simply supported beam equation. Zbl 1413.34077
2017
Positive solutions for second-order boundary-value problems with sign changing Green’s functions. Zbl 1372.34047
Cabada, Alberto; Enguiça, Ricardo; López-Somoza, Lucía
2017
Characterization of constant sign Green’s function for a two-point boundary-value problem by means of spectral theory. Zbl 1370.34033
2017
Constant sign Green’s function for simply supported beam equation. Zbl 1367.34026
2017
Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications. Zbl 1366.45005
2016
Operator method for construction of solutions of linear fractional differential equations with constant coefficients. Zbl 1339.34006
Ashurov, Ravshan; Cabada, Alberto; Turmetov, Batirkhan
2016
The eigenvalue characterization for the constant sign Green’s functions of $$(k,n-k)$$ problems. Zbl 1343.34194
2016
Multiple positive solutions to a fourth-order boundary-value problem. Zbl 1357.34054
2016
Disconjugacy characterization by means of spectral $$(k, n - k)$$ problems. Zbl 1331.34046
2016
Periodic solutions for some phi-Laplacian and reflection equations. Zbl 1349.34276
2016
Differential equations with involutions. Zbl 1339.34002
2015
Multiplicity results for integral boundary value problems of fractional order with parametric dependence. Zbl 1315.34009
2015
Constant sign solutions of two-point fourth order problems. Zbl 1410.34080
2015
On solvability of some boundary value problem for polyharmonic equation with boundary operator of a fractional order. Zbl 1443.35032
Berdyshev, A. S.; Cabada, A.; Turmetov, B. Kh.
2015
Existence results for singular $$\varphi$$-Laplacian problems in presence of lower and upper solutions. Zbl 1325.34030
2015
Nonlinear fractional differential equations with integral boundary value conditions. Zbl 1364.34010
2014
Green’s functions in the theory of ordinary differential equations. Zbl 1303.34001
2014
Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions. Zbl 1317.34150
2014
A positive fixed point theorem with applications to systems of Hammerstein integral equations. Zbl 1339.47070
Cabada, Alberto; Cid, José; Infante, Gennaro
2014
Solutions and Green’s function of the first order linear equation with reflection and initial conditions. Zbl 1323.34078
2014
A generalization of an extensible beam equation with critical growth in $$\mathbb{R}^N$$. Zbl 1297.35094
2014
On solvability of a boundary value problem for a nonhomogeneous biharmonic equation with a boundary operator of a fractional order. Zbl 1340.31004
Berdyshev, A. S.; Cabada, A.; Turmetov, B. Kh.
2014
Existence and multiplicity of solutions to boundary value problems for fourth-order impulsive differential equations. Zbl 1319.34044
2014
Positive solutions of a nonlocal Caputo fraction BVP. Zbl 1310.34005
2014
An integral boundary value problem for nonlinear differential equations of fractional order on an unbounded domain. Zbl 1318.34011
Wang, Guotao; Cabada, Alberto; Zhang, Lihong
2014
Multiplicity of solutions of a two point boundary value problem for a fourth-order equation. Zbl 1294.34016
2013
Nontrivial solutions of Hammerstein integral equations with reflections. Zbl 1294.45002
2013
Extremal solutions to fourth order discontinuous functional boundary value problems. Zbl 1301.34022
Cabada, Alberto; Fialho, João; Minhós, Feliz
2013
Comparison results for first order linear operators with reflection and periodic boundary value conditions. Zbl 1272.34028
2013
New criteria for the existence of non-trivial fixed points in cones. Zbl 1428.47017
Cabada, Alberto; Cid, José Ángel; Infante, Gennaro
2013
Existence of homoclinic constant sign solutions for a difference equation on the integers. Zbl 1334.39011
2013
The system of Kaup equations with a self-consistent source in the class of periodic functions. Zbl 1339.37065
2013
On the Volterra property of a boundary problem with integral gluing condition for a mixed parabolic-hyperbolic equation. Zbl 1293.35179
Berdyshev, Abdumauvlen S.; Cabada, Alberto; Karimov, Erkinjon T.; Akhtaeva, Nazgul S.
2013
Preface: Fractional differential equations and their applications. Zbl 1298.00097
Benchohra, Mouffak (ed.); Cabada, Alberto (ed.); Henderson, Johnny (ed.)
2013
Positive solutions of nonlinear fractional differential equations with integral boundary value conditions. Zbl 1232.34010
2012
Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations. Zbl 1244.34008
Wang, Guotao; Agarwal, Ravi P.; Cabada, Alberto
2012
Computation of Green’s functions for boundary value problems with Mathematica. Zbl 1298.34054
Cabada, Alberto; Cid, José Ángel; Máquez-Villamarín, Beatriz
2012
On a non-local boundary problem for a parabolic-hyperbolic equation involving a Riemann-Liouville fractional differential operator. Zbl 1242.35180
Berdyshev, A. S.; Cabada, A.; Karimov, E. T.
2012
On comparison principles for the periodic Hill’s equation. Zbl 1259.34018
2012
Partial neutral functional integro-differential equations of fractional order with delay. Zbl 1278.26006
Abbas, Saïd; Benchohra, Mouffak; Cabada, Alberto
2012
Functional fractional boundary value problems with singular $$\phi$$-Laplacian. Zbl 1296.34013
2012
Heteroclinic solutions of a second-order difference equation related to the Fisher-Kolmogorov’s equation. Zbl 1245.39003
Cabada, Alberto; Souroujon, Diko; Tersian, Stepan
2012
A note on a question of Ricceri. Zbl 1233.49006
2012
An overview of the lower and upper solutions method with nonlinear boundary value conditions. Zbl 1230.34001
2011
Positive solutions of fourth order problems with clamped beam boundary conditions. Zbl 1221.34061
2011
Existence and multiplicity of solutions for a periodic Hill’s equation with parametric dependence and singularities. Zbl 1229.34034
2011
Existence of positive solutions for $$n$$th-order periodic difference equations. Zbl 1226.39005
2011
Existence of heteroclinic solutions for discrete $$p$$-Laplacian problems with a parameter. Zbl 1235.39002
2011
The Samarskii-Ionkin type problem for the fourth order parabolic equation with fractional differential operator. Zbl 1236.35197
2011
Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions. Zbl 1242.34046
2011
Non ordered lower and upper solutions to fourth order problems with functional boundary conditions. Zbl 1306.34031
Cabada, Alberto; Fialho, João; Minhós, Feliz
2011
Existence of solutions of discrete equations via critical point theory. Zbl 1242.39003
Cabada, Alberto; Iannizzotto, Antonio; Tersian, Stepan
2011
On a class of singular Sturm-Liouville periodic boundary value problems. Zbl 1229.34033
2011
First order differential equations with piecewise constant arguments and nonlinear boundary value conditions. Zbl 1228.34098
2011
Existence of solutions for elliptic systems with nonlocal terms in one dimension. Zbl 1207.35128
Cabada, Alberto; Cid, J. Ángel; Sanchez, Luís
2011
Multiplicity results for nonlinear periodic fourth order difference equations with parameter dependence and singularities. Zbl 1211.39009
2010
A generalized anti-maximum principle for the periodic one-dimensional $$p$$-Laplacian with sign-changing potential. Zbl 1192.34025
Cabada, Alberto; Cid, José Ángel; Tvrdý, Milan
2010
On homoclinic solutions of a semilinear $$p$$-Laplacian difference equation with periodic coefficients. Zbl 1207.39004
Cabada, Alberto; Li, Chengyue; Tersian, Stepan
2010
Integration of the Toda lattice with an integral-type source. Zbl 1201.37100
2010
Multiple solutions for discrete boundary value problems. Zbl 1169.39008
Cabada, Alberto; Iannizzotto, Antonio; Tersian, Stepan
2009
An existence result for nonlinear fractional differential equations on Banach spaces. Zbl 1181.34007
Benchohra, Mouffak; Cabada, Alberto; Seba, Djamila
2009
Extremal solutions to fourth-order functional boundary value problems including multipoint conditions. Zbl 1163.34380
Cabada, Alberto; Pouso, Rodrigo López; Minhós, Feliz M.
2009
Heteroclinic solutions for non-autonomous boundary value problems with singular $$\Phi$$-Laplacian operators. Zbl 1198.34039
2009
Existence of a non-zero fixed point for nondecreasing operators proved via Krasnoselskii’s fixed point theorem. Zbl 1170.47035
2009
Solvability of some $$\Phi$$-Laplacian singular difference equations defined on the integers. Zbl 1206.39003
2009
Fully nonlinear fourth-order equations with functional boundary conditions. Zbl 1138.34008
2008
Second order problems with functional conditions including Sturm-Liouville and multipoint conditions. Zbl 1160.34013
Cabada, Alberto; O’Regan, Donal; Pouso, Rodrigo L.
2008
On the sign of the Green’s function associated to Hill’s equation with an indefinite potential. Zbl 1161.34014
2008
Positivity and lower and upper solutions for fourth order boundary value problems. Zbl 1125.34010
Cabada, Alberto; Cid, J. Ángel; Sanchez, Luís
2007
Extremal solutions for nonlinear functional $$\varphi$$-Laplacian impulsive equations. Zbl 1124.34012
2007
The method of lower and upper solutions for periodic and anti-periodic difference equations. Zbl 1171.39301
2007
Periodic problem involving quasilinear differential operator and weak singularity. Zbl 1146.34016
Cabada, Alberto; Lomtatidze, Alexander; Tvrdý, Milan
2007
Nonlinear second-order equations with functional implicit impulses and nonlinear functional boundary conditions. Zbl 1114.34026
2007
Discontinuous functional $$\phi$$-Laplacian boundary value problems on time scales. Zbl 1140.39008
2007
Existence of extremal solutions for nonlinear discontinuous impulsive functional $$\phi$$-Laplacian equations with nonlinear discontinuous functional boundary conditions. Zbl 1131.34023
2007
Existence of a solution for a singular differential equation with nonlinear functional boundary conditions. Zbl 1128.34009
2007
Expression of the Lebesgue $$\Delta$$-integral on time scales as a usual Lebesgue integral; application to the calculus of $$\Delta$$-antiderivatives. Zbl 1092.39017
2006
Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions. Zbl 1104.34008
Cabada, A.; Minhós, F.; Santos, A. I.
2006
First order difference equations with maxima and nonlinear functional boundary value conditions. Zbl 1107.39001
Atici, Ferhan M.; Cabada, Alberto; Ferreiro, Juan B.
2006
Third-order right-focal multi-point problems on time scales. Zbl 1123.34014
2006
Existence results for $$\varphi$$-Laplacian boundary value problems on time scales. Zbl 1139.39025
2006
Maximum principles for third-order initial and terminal value problems. Zbl 1142.34329
2006
Criterions for absolute continuity on time scales. Zbl 1081.39011
2005
Extremal solutions for third-order nonlinear problems with upper and lower solutions in reversed order. Zbl 1084.34013
Cabada, A.; Grossinho, M. R.; Minhós, F.
2005
Nagumo type existence results for second-order nonlinear dynamic BVPs. Zbl 1072.34015
Atici, F. M.; Cabada, A.; Chyan, C. J.; Kaymakçalan, B.
2005
Existence of solutions of first-order dynamic equations with nonlinear functional boundary value conditions. Zbl 1224.34291
2005
Positive solutions for a class of singular differential equations arising in diffusion processes. Zbl 1086.34012
Cabada, Alberto; Cid, J. Ángel; Pouso, Rodrigo López
2005
Extremal solutions of $$\varphi$$-Laplacian-diffusion scalar problems with nonlinear functional boundary conditions in a unified way. Zbl 1224.34042
2005
Optimal conditions to ensure the stability of periodic solutions of first order difference equations lying between lower and upper solutions. Zbl 1066.39004
Cabada, Alberto; Otero-Espinar, Victoria; Vivero, Dolores R.
2005
Green’s function and comparison principles for first order periodic differential equations with piecewise constant arguments. Zbl 1057.34089
Cabada, Alberto; Ferreiro, Juan B.; Nieto, Juan J.
2004
Extremal solutions and Green’s functions of higher order periodic boundary value problems in time scales. Zbl 1056.39018
2004
Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations. Zbl 1083.39017
2004
Existence and uniqueness of solutions for anti-periodic difference equations. Zbl 1087.39001
Agarwal, Ravi P.; Cabada, Alberto; Otero-Espinar, Victoria; Dontha, S.
2004
...and 58 more Documents
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#### Cited by 1,174 Authors

 103 Cabada, Alberto 37 O’Regan, Donal 36 Ahmad, Bashir 33 Agarwal, Ravi P. 32 Ma, Ruyun 32 Minhós, Feliz Manuel 32 Nieto Roig, Juan Jose 26 Wang, Guotao 21 Ge, Weigao 21 Zhang, Lihong 20 Cid, José Ángel 19 Li, Yongxiang 18 Al-saedi, Ahmed Eid Salem 16 Heidarkhani, Shapour 16 Liu, Lishan 16 Liu, Yuji 16 Pei, Minghe 15 Otero-Espinar, Victoria 15 Pouso, Rodrigo L. 14 Infante, Gennaro 14 Jiang, Daqing 13 Graef, John R. 13 Kong, Lingju 13 Lu, Yanqiong 13 Sadarangani, Kishin B. 13 Wu, Yonghong 12 Ntouyas, Sotiris K. 12 Vivero, Dolores R. 12 Zhang, Qihu 12 Zhang, Xingqiu 11 Goodrich, Christopher S. 11 Khristova, Snezhana G. 11 Rachůnková, Irena 10 Heikkilä, Seppo V. 10 López Pouso, Rodrigo 10 Tersian, Stepan Agop 9 Benchohra, Mouffak 9 Caristi, Giuseppe 9 Harjani, Jackie 9 He, Zhimin 9 Rodríguez-López, Rosana 9 Shen, Jianhua 9 Staněk, Svatoslav 9 Zhai, Chengbo 8 Bai, Zhanbing 8 Chu, Jifeng 8 Fialho, João F. 8 Kelevedjiev, Petio S. 8 Liz, Eduardo 8 Sun, Jianping 8 Tojo, F. Adrián F. 8 Wang, Libo 8 Wang, Yuanming 8 Yao, Qingliu 8 Zhong, Qiuyan 7 Anderson, Douglas Robert 7 Cui, Yujun 7 Feng, Meiqiang 7 Golev, Angel A. 7 Henderson, Johnny 7 Liu, Xiaopin 7 Merdivenci Atici, Ferhan 7 Ouaro, Stanislas 7 Papalini, Francesca 7 Şerban, Călin 7 Shah, Kamal 7 Sun, Shurong 6 Abbas, Said 6 Akhmet, Marat Ubaydulla 6 Chang, Sung Kag 6 do Rosário Grossinho, Maria 6 Frigon, Marlène 6 Galewski, Marek 6 Jebelean, Petru 6 Li, Wan-Tong 6 Liu, Sanyang 6 Liu, Zhenhai 6 Moradi, Shahin 6 Precup, Radu 6 Rachůnek, Lukáš 6 Rodríguez-López, Jorge 6 Salari, Amjad 6 Song, Guangxing 6 Tomeček, Jan 5 Ashyralyev, Allaberen 5 Bonanno, Gabriele 5 Chen, Tianlan 5 Chen, Yuqing 5 Du, Zengji 5 Feng, Yuqiang 5 Hao, Xin’an 5 Jankowski, Tadeusz 5 Jia, Mei 5 Karimov, Erkinjon Tulkinovich 5 Khan, Rahmat Ali 5 Liu, Xiping 5 Lois, Susana 5 Lopez, Belen 5 Mawhin, Jean L. 5 Qiu, Zhimei ...and 1,074 more Authors
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#### Cited in 177 Serials

 109 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 102 Advances in Difference Equations 98 Boundary Value Problems 95 Journal of Mathematical Analysis and Applications 72 Applied Mathematics and Computation 54 Abstract and Applied Analysis 42 Journal of Difference Equations and Applications 39 Applied Mathematics Letters 37 Computers & Mathematics with Applications 34 Journal of Applied Mathematics and Computing 32 Journal of Computational and Applied Mathematics 20 Nonlinear Analysis. Real World Applications 18 Journal of Function Spaces 17 Discrete Dynamics in Nature and Society 16 Fractional Calculus & Applied Analysis 14 Mathematical Methods in the Applied Sciences 13 Mathematical and Computer Modelling 12 Fixed Point Theory and Applications 12 Journal of Fixed Point Theory and Applications 11 Nonlinear Analysis. Modelling and Control 11 Mediterranean Journal of Mathematics 10 Journal of Inequalities and Applications 10 Nonlinear Analysis. Theory, Methods & Applications 9 Journal of Nonlinear Science and Applications 8 Rocky Mountain Journal of Mathematics 8 Results in Mathematics 8 Differential Equations 7 Applicable Analysis 7 Journal of Differential Equations 7 Positivity 6 Mathematische Nachrichten 6 Turkish Journal of Mathematics 6 Differential Equations and Dynamical Systems 6 Discrete and Continuous Dynamical Systems. Series B 5 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 5 Proceedings of the American Mathematical Society 5 Zeitschrift für Analysis und ihre Anwendungen 5 Mathematical Problems in Engineering 5 Journal of Applied Mathematics 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Open Mathematics 4 Bulletin of the Australian Mathematical Society 4 Lithuanian Mathematical Journal 4 International Journal of Mathematics and Mathematical Sciences 4 Acta Applicandae Mathematicae 4 Georgian Mathematical Journal 4 NoDEA. Nonlinear Differential Equations and Applications 4 Opuscula Mathematica 4 Acta Mathematica Sinica. English Series 4 Portugaliae Mathematica. Nova Série 4 Communications on Pure and Applied Analysis 4 Tbilisi Mathematical Journal 4 International Journal of Differential Equations 3 Mathematical Notes 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Demonstratio Mathematica 3 Journal of Optimization Theory and Applications 3 International Journal of Computer Mathematics 3 Topological Methods in Nonlinear Analysis 3 Applied Mathematics. Series B (English Edition) 3 Journal of Mathematical Sciences (New York) 3 Discrete and Continuous Dynamical Systems 3 Journal of Applied Analysis 3 Communications in Nonlinear Science and Numerical Simulation 3 Qualitative Theory of Dynamical Systems 3 The ANZIAM Journal 3 Central European Journal of Mathematics 3 Nonlinear Analysis. Hybrid Systems 3 Differential Equations and Applications 3 Ufimskiĭ Matematicheskiĭ Zhurnal 3 Symmetry 3 Fractional Differential Calculus 2 Computer Physics Communications 2 Journal of the Franklin Institute 2 Theoretical and Mathematical Physics 2 Chaos, Solitons and Fractals 2 Glasgow Mathematical Journal 2 Mathematica Slovaca 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Integral Equations and Applications 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Integral Transforms and Special Functions 2 Arab Journal of Mathematical Sciences 2 Taiwanese Journal of Mathematics 2 Matematychni Studiï 2 Analysis (München) 2 Communications in Contemporary Mathematics 2 Lobachevskii Journal of Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Function Spaces and Applications 2 Cubo 2 Mathematical Modelling of Natural Phenomena 2 S$$\vec{\text{e}}$$MA Journal 2 Axioms 2 Carpathian Mathematical Publications ...and 77 more Serials
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#### Cited in 34 Fields

 977 Ordinary differential equations (34-XX) 314 Operator theory (47-XX) 209 Difference and functional equations (39-XX) 112 Partial differential equations (35-XX) 76 Real functions (26-XX) 71 Numerical analysis (65-XX) 70 Integral equations (45-XX) 30 Global analysis, analysis on manifolds (58-XX) 28 Dynamical systems and ergodic theory (37-XX) 19 General topology (54-XX) 18 Mechanics of deformable solids (74-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Biology and other natural sciences (92-XX) 12 Functional analysis (46-XX) 7 Sequences, series, summability (40-XX) 6 Systems theory; control (93-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 3 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

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