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Two-Stage Dynamic Synergistic Segmentation Method for Myocardial Pathology. [PDF]
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Solvability of multi-point boundary value problem at resonance––Part IV
Applied Mathematics and Computation, 2003By the use of Mawhin's coincidence degree theory, the author proves existence results for a variety of multipoint boundary value problems associated to a second-order ordinary differential equations. For part I, see the author and \textit{J. Yu} [Indian J. Pure Appl. Math. 33, 475--494 (2002; Zbl 1021.34013)].
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A second order m-point boundary value problem at resonance
Nonlinear Analysis: Theory, Methods & Applications, 1995The problem of existence of solutions for the boundary value problem \(x''= f(t, x, x')+ e(t)\), \(t\in (0, 1)\), \(x(0)= 0\), \(x'(1)= \sum^{m- 2}_{i= 1} a_ i x'(\xi_ i)\) is studied. Here \(f: [0, 1]\times \mathbb{R}^ 2\to \mathbb{R}\) is a Carathéodory function of sublinear growth, \(e\in L_ 1[0, 1]\), \(a_ i\geq 0\); \(0< \xi_ ...
Chaitan P Gupta
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On Resonant Discrete Boundary Value Problem
Applicable Analysis, 1985AMS(MOS): 39A10, 39A12, 39B30 This paper is concerned with resonant boundary value problems for systems of difference equations. The Alternative Method is used to establish computationally feasible sufficient conditions for the existence of solutions of weakly nonlinear systems.
J. K. Hale +8 more
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Nonlinear boundary value problems at resonance
Nonlinear Analysis: Theory, Methods & Applications, 1987zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iannacci, R., Nkashama, M. N.
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Quasilinearization and boundary value problems at resonance
Georgian Mathematical Journal, 2019Abstract A quasilinearization algorithm is developed for boundary value problems at resonance. To do so, a standard monotonicity condition is assumed to obtain the uniqueness of solutions for the boundary value problem at resonance. Then the method of upper and lower solutions and the shift method are applied to obtain the existence of ...
Kareem Alanazi +2 more
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Remarks on nonlocal boundary value problems at resonance
Applied Mathematics and Computation, 2010The author considers the nonlocal boundary value problems \[ -u''(t)=f(t, u(t), u'(t)),\quad u(0)=0,\;u(1)=\int^1_0 tdA(t), \] and \[ -(p(t)u')'(t)=f(t, u(t),\;u'(t)),\quad u'(0)=0,\;u(1)=\int^1_0 tdB(t). \] He shows that it is important to allow the nonlinear term \(f\) to change sign when discussing the existence of positive solutions by providing ...
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On the Solvability of a Neumann Boundary Value Problem at Resonance
Canadian Mathematical Bulletin, 1997AbstractWe study the existence of solutions of the semilinear equations (1) in which the non-linearity g may grow superlinearly in u in one of directions u → ∞ and u → −∞, and (2) −Δu + g(x, u) = h, in which the nonlinear term g may grow superlinearly in u as |u| → ∞.
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