Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity N Duruk, HA Erbay, A Erkip Nonlinearity 23 (1), 107, 2009 | 75 | 2009 |
A higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity N Duruk, A Erkip, HA Erbay IMA Journal of Applied Mathematics 74 (1), 97-106, 2009 | 48 | 2009 |
The Cauchy problem for a one-dimensional nonlinear elastic peridynamic model HA Erbay, A Erkip, GM Muslu Journal of Differential Equations 252 (8), 4392-4409, 2012 | 37 | 2012 |
Normal solvability of elliptic boundary value problems on asymptotically flat manifolds AK Erkip, E Schrohe Journal of functional analysis 109 (1), 22-51, 1992 | 35 | 1992 |
Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations N Duruk, HA Erbay, A Erkip Journal of differential equations 250 (3), 1448-1459, 2011 | 34 | 2011 |
Dynamics of large-scale fluctuations in native proteins. Analysis based on harmonic inter-residue potentials and random external noise A Erkip, B Erman Polymer 45 (2), 641-648, 2004 | 27 | 2004 |
Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations C Babaoglu, HA Erbay, A Erkip Nonlinear Analysis: Theory, Methods & Applications 77, 82-93, 2013 | 23 | 2013 |
Derivation of the Camassa–Holm equations for elastic waves HA Erbay, S Erbay, A Erkip Physics Letters A 379 (12-13), 956-961, 2015 | 21 | 2015 |
Instability and stability properties of traveling waves for the double dispersion equation HA Erbay, S Erbay, A Erkip Nonlinear Analysis 133, 1-14, 2016 | 18 | 2016 |
Existence and stability of traveling waves for a class of nonlocal nonlinear equations HA Erbay, S Erbay, A Erkip Journal of Mathematical Analysis and Applications 425 (1), 307-336, 2015 | 16 | 2015 |
Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations HA Erbay, S Erbay, A Erkip Nonlinear Analysis: Theory, Methods & Applications 95, 313-322, 2014 | 16 | 2014 |
The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials HA Erbay, S Erbay, A Erkip Nonlinearity 24 (4), 1347, 2011 | 16 | 2011 |
The -th order elliptic boundary problem for noncompact boundaries HO Cordes, AK Erkip | 15 | 1980 |
Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity HA Erbay, A Erkip, Y Şengül Journal of Differential Equations 269 (11), 9720-9739, 2020 | 14 | 2020 |
Synchronous and asynchronous response in dynamically perturbed proteins A Hacisuleyman, A Erkip, B Erman, B Erman The Journal of Physical Chemistry B 125 (3), 729-739, 2021 | 13 | 2021 |
The elliptic boundary problem on the half space AK Erkip Communications in Partial Differential Equations 4 (5), 537-554, 1979 | 11 | 1979 |
The Camassa-Holm equation as the long-wave limit of the improved Boussinesq equation and of a class of nonlocal wave equations HA Erbay, S Erbay, A Erkip arXiv preprint arXiv:1601.02154, 2016 | 9 | 2016 |
Parameter optimization for the Gaussian model of protein folding A Erkip, B Erman, C Seok, K Dill Polymer 43 (2), 495-501, 2002 | 9 | 2002 |
Cauchy problem for a higher-order Boussinesq equation N Duruk | 8 | 2007 |
A semi-discrete numerical method for convolution-type unidirectional wave equations HA Erbay, S Erbay, A Erkip Journal of Computational and Applied Mathematics 387, 112496, 2021 | 7 | 2021 |