Multiple interior and boundary peak solutions to singularly perturbed nonlinear Neumann problems under the Berestycki–Lions condition
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DOI: 10.1007/s00208-016-1412-3
Abstract: Let $$\varOmega $$Ω be a smooth bounded domain in $$\mathbb {R}^N$$RN, $$N\ge 3$$N≥3. We consider the following singularly perturbed nonlinear elliptic problem on $$\varOmega $$Ω, $$\begin{aligned} \varepsilon ^2\varDelta v-v+f(v)=0,\quad v>0\ \text {on}\ \varOmega ,\qquad \frac{\partial… read more here.
Keywords: multiple interior; singularly perturbed; berestycki lions; perturbed nonlinear ... See more keywords
Existence of three solutions for perturbed nonlinear fractional p-Laplacian boundary value systems with two control parameters
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DOI: 10.1007/s11868-020-00354-y
Abstract: In this paper, we use two control parameters to study a class of perturbed nonlinear fractional p-Laplacian differential systems, where we prove the existence of three weak solutions by using the variational method and Ricceri’s… read more here.
Keywords: fractional laplacian; two control; perturbed nonlinear; nonlinear fractional ... See more keywords
Multiple positive solutions for perturbed nonlinear fractional differential system with two control parameters
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DOI: 10.1186/s13662-019-2075-7
Abstract: In this paper, we study a class of perturbed nonlinear fractional differential systems with two control parameters. Under some appropriate conditions on the primitive function of nonlinear terms Fu$F_{u}$ and Fv$F_{v}$, we prove the multiplicity… read more here.
Keywords: fractional differential; nonlinear fractional; control parameters; two control ... See more keywords
Exact optical solitons of the perturbed nonlinear Schrödinger–Hirota equation with Kerr law nonlinearity in nonlinear fiber optics
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DOI: 10.1515/phys-2020-0177
Abstract: Abstract This article studies dark, bright, trigonometric and rational optical soliton solutions to the perturbed nonlinear Schrödinger–Hirota equation (PNLSHE). Hence, we have examined two cases: first, restrictions have been done to the third-order (TOD) (γ)… read more here.
Keywords: nonlinear schr; dinger hirota; perturbed nonlinear; optics ... See more keywords
Conditions of Functional Null Controllability for Some Types of Singularly Perturbed Nonlinear Systems with Delays
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DOI: 10.3390/axioms8030080
Abstract: Two types of singularly-perturbed nonlinear time delay controlled systems are considered. For these systems, sufficient conditions of the functional null controllability are derived. These conditions, being independent of the parameter of singular perturbation, provide the… read more here.
Keywords: conditions functional; singularly perturbed; functional null; controllability ... See more keywords